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When formatting date object - does it matter that the T and the 000Z will be removed when storing to db?

Sorry if its a very basic question but I dont understand the following:
When I format the Date object (no matter what library I used), I get a string.
from this: 2022-11-28T16:55:44.000Z (new Date object)
I get this: 2022-11-28 16:55:44 (or other formats obviously depending how I format it)
Even if I turn it back into an object it, the T and 000Z will never be there anymore. Do I just ignore that (seems like it as any library or date methods are ignoring the T and the string ending when formatting) or do I add it 'back' Isnt it a problem if dates stored in my db are different (for later queries etc.)?

The Z indicates UTC (Coordinated Universal Time, also known as Greenwich Meridian Time), dropping that changes the meaning - unless your browser or server lives in the Greenwich time zone and it is winter (no daylight saving time).
You can convert back and forth between a Date object and a UTC string as follows (my browser lives in the Central European time zone):
> utc = '2022-11-28T16:55:44.000Z'
'2022-11-28T16:55:44.000Z'
> d = new Date(utc)
Mon Nov 28 2022 17:55:44 GMT+0100 (Central European Standard Time)
> d.toISOString()
'2022-11-28T16:55:44.000Z'
Alternatively, you can convert back and forth between a Date object and a formatted string in your browser's or server's time zone (the last line shows that my browser's format differs from yours):
> formatted = '2022-11-28 17:55:44'
'2022-11-28 17:55:44'
> d = new Date(formatted)
Mon Nov 28 2022 17:55:44 GMT+0100 (Central European Standard Time)
> d.toLocaleString()
'11/28/2022, 5:55:44 PM'
But you should not store the Date objects in this format in a database, unless you can guarantee that they are always read and written in the same time zone. For example, if you format a Date object with your browser (in CET) and store it, then someone else who reads it and converts it back to a Date object with their browser in the New Zealand time zone will see a wrong value. Also, dates like 9/11/2022 are ambiguous if the formatting rules are not clear (September 11th or November 9th?).
That's why I would prefer UTC strings when storing Date objects and use formatted strings only for outputting them to the user and for parsing user input.

I see it even stronger: You should never store dates as strings, it's a design flaw. Store always proper Date objects. Here on SO you can find hundreds of questions, where people have problems, because they stored date values as (localized) strings. It is not limited to MongoDB, it applies to any database.
Date objects in MongoDB are UTC times - always and only! Usually the client application is responsible to display the date/time in local time zone and local format.
What do you mean by "turn it back", i.e. how do you do it?
You should not rely on new Date(<string>) without time zone. Some browsers/environments may apply UTC time, others may use current local time zone, see Differences in assumed time zone
Have a look at 3rd party date libraries, e.g. moment.js, Luxon, or Day.js. Usually they provide better control how to parse strings and time zones.

Is there a way to override `new Date()` in Javascript so it always returns the date considering one specific hardcoded timezone?

I'm working on a React.js project that handles lots of comparisons related to DateTime (comparing the hour, the month, the year and so forth to dates retrieved from an API). For this specific React.js application, I would like to always consider DateTimes (from new Date()) as if the user was in the server timezone. Assuming that the server is in "Europe/Berlin" timezone, I would like that at any point in the application, calling new Date('2019-01-01') would retrieve me a DateTime that refers to this time in the "Europe/Berlin" timezone, that would be Tue Jan 01 2019 01:00:00 GMT+0100 (Central European Standard Time). If I set my computer Date and Time as if I was in Brazil, for instance, I get Mon Dec 31 2018 22:00:00 GMT-0200 (Brasilia Summer Time), but would like to get the same as before. The main reason why this is a problem is that we extract data from these DateTimes such as .getHours(), .getDate(), etc.
This would fit this specific application because it's really important for this project that we only support the server Timezone, no matter where the user is. So to keep consistent with the server time, the call new Date('2019-01-01').getDate() should return 1, since it will be 1st January in Berlin. However, if the user is in Brazil, this same call will return 31, as Brazil is some hours before GMT, when it's midnight in GMT time, it will be still the previous day in Brazil.
I tried first to use the date-fns along with date-fns-timezone to set the DateTime to display the dates and times to the client considering the server timezone. That worked fine to display the right data but didn't solve some issues that are caused due to these attributes extraction from the date and that will vary depending on where the user is.
So that's why what I'm trying to do now is override the new Date() method in a way that it will always retrieve the date as if the user was in the server time. I haven't managed to get how it can be done. Whenever I change the Date and Time from my computer, the output for the new Date() already takes into account this new date and time settings.
So how can I force the new Date() to always give back the DateTime with a hardcoded timezone? Also, it would be really good if I could do it without using external libs (like moment.js, for instance), and do it only with plain Javascript.
I was taking a look into the window.navigator variable to see if I could set this one to force the Date to the server timezone, but it doesn't look like that will be the way to solve my issue.
I looked a lot for this answer and didn't find any question that was really close to this one. I'll just list here some of the questions I looked before and why my case differs from them.
1- new Date() for a specific timezone in JavaScript: In this case, the moment is used, and there was no way to accomplish this overriding for the new Date() itself.
2- Convert string to date without considering timezone: In this one, the answer gives back a string with the date formatted to the desired timezone, but not a Date object itself.
3- javascript date considering Request.UserLanguages[0]: also in this one, the question/answer is about formatting the date output rather than retrieving the Date object itself with the new timezone.
4- How do I combine moment.js timezone with toDate to build a new date object?: in this one the answer also is about using moment.js, what I would like to avoid since what I really want to achieve is overriding the new Date() method.

A few things:
Generally speaking, one should try to design their applications such that the server's time zone is not relevant at all. This means only relying on the server's UTC functionality, and working with specific named time zones. Asking for the local time of a server tends to become problematic, especially when dealing with environments where you may not have full control of the server.
Keep in mind that the Date object in JavaScript is misnamed. It is really a timestamp. Essentially it is just an object wrapper around the value you get with .valueOf() or .getTime() or when you coerce it to a number. Everything function on the Date object simply reads this value, applies some logic (which may or may not use the local time zone depending on the function), and emits some result. Similarly, the constructors of the Date object interpret your input and then assign this number in the resulting object. In other words, the Date object does not keep track of a time zone at all. It simply applies it when it is called for. Thus, one cannot change it.
When you pass a string in yyyy-MM-dd format to the Date constructor, per the ECMAScript specification it is interpreted as midnight UTC, not as midnight local time. This is a deviation from ISO 8601, and such often confuses people.
The strings you showed as output like Tue Jan 01 2019 01:00:00 GMT+0100 (Central European Standard Time) are emitted in local time, and are the result of either calling the .toString() function, or by passing a Date object to console.log in some environments. Other environments show the result of .toISOString(), which is emitted in UTC.
There's no global in window.navigator or elsewhere that can change the local time zone. In Node.js apps, if you really need to set the server's time zone globally, you can set the TZ environment variable before launching Node. However, this doesn't work in Windows environments, and doesn't help for browsers.
You're on track with using a library such as date-fns with date-fns-timezone. There are other libraries as well, which are listed in this answer. Alternatively, you could call .toLocaleString with the timeZone option, such as:
new Date().toLocaleString("en-US", {timeZone: "America/New_York"})
This API provides functionality for emitting a string in a particular time zone, but it does not do anything for applying a time zone to an input string.
So ultimately, to answer your question:
So how can I force the new Date() to always give back the DateTime with a hardcoded timezone?
Sorry, you can't. You can either use a different object to track the time zone statefully, or you can use functions that take the time zone as a parameter. Both are things offered by existing library, but only the one function I showed above is currently built in to JavaScript.

In case someone else has this same problem, here is the approach that I followed to solve the issue:
As in this specific case I really need to compare and group some entities based on date, among other operations (always considering the server timezone), I ended up choosing moment.js along with moment-timezone. The native Date class would not solve it since it has no way to handle different timezones. Then, I tried to use first date-fns and date-fsn-timezone, but as these libs always use the standard Date class, it gets back to the problem that a Date in javascript is only a timestamp and has no clue about other timezones other than the one in the client (the application is a React.js one).
Just to show one example about the issue, consider that the server is placed in Europe/Berlin timezone, and one stamp is retrieved as 2019-04-30T02:00:00+02:00. On the React.js application, I want to group this stamp to all the stamps that are also from 2019-04-30. However, if the browser is in Brazil/Brasilia time, the call new Date('2019-04-30T02:00:00+02:00').getDate() will give me 29 as return, since in the client timezone, this same timestamp will represent 2019-04-29T09:00:00-03:00.
Using moment and moment-timezone it could be fixed by defining in which timezone I want to retrieve the values, such as:
moment('2019-04-30T02:00:00+02:00').tz('Europe/Berlin').date()
// retrieves 30 independent on the client timezone.
Thank you very much to all who contributed with answers and suggestions. You all helped me to find the path to solve this issue.

Formatting date with JavaScript in a customer fronting e-commerce application

We have a situation where in we need to format a json response attribute which contains a date string (say "2017-01-29"). To format the date we are currently using jquery UI function like:
dayVar = $.datepicker.formatDate('M dd, yy', new Date("2017-01-29"));
But if we print dayVar, it is displayed as Jan 28, 17 as against the expected Jan 29, 17.
What is the best solution to fix this so that it can fit into any time zone?
It is single page application built with Marionette framework.

When instantiating your new Date object, you are leaving the Time up to interpretation. By default most environments will interpret this to 00:00:00 ... however, as this is javascript you are at the mercy of the user's local machine to interpret this value.
I would append the 00:00:00 in the string to the Date() function. to enforce the expected outcome, or even attempt to play with the time to see what kind of outputs it creates (Maybe set it for 1AM or 22:00:00) this should provide a more in depth understanding of what is causing the issue, and hopefully the solution.

new Date('yyyy-MM-ddTHH:mm:ss') without locale

I am based in the UK so when I attempt to parse a new date in JavaScript as follows:
new Date('2016-06-03T09:05:15');
Results in the following date:
Fri Jun 03 2016 10:05:15 GMT+0100 (BST)
I want the date to be parsed as is, and for no locale adjustments (in this instance, BST) to occur. Is this achievable without writing my own date/time parser?

I want the date to be parsed as is, and for no locale adjustments (in this instance, BST) to occur
That is exactly what should occur, however it doesn't in all browsers. You should not parse strings using the Date constructor or Date.parse (they are equivalent for parsing). Always manually parse strings, a library can help but usually isn't necessary.
According to EMCAScript 2015, '2016-06-03T09:05:15' should be parsed as a "local" date (i.e. based on the host system settings for date, time and time zone on the date and time supplied). A Date object's time value is UTC, so when creating the time value, the host settings are taken into consideration. The same settings are also used for output, so if the OP string is correctly parsed and then written to output, you should get back exactly the same date and time (though probably in a different format).
If you're seeing a different time from the input string, then the string isn't being correctly parsed (hence advice to manually parse strings).
Is this achievable without writing my own date/time parser?
Yes, use a library that someone else wrote. However, if you also want host settings to be ignored for output, you'll also need to write your own formatter, or use a library.
The good news is that there are many to choose from.

ExtJS dates and timezones

I have a problem with the Ext Date class seemingly returning the wrong timezone for a parsed date. Using the code below I create a date object for the 24th May, 1966 15:46 BST:
date = "1966-05-24T15:46:01+0100";
var pDate = Date.parseDate(date, "Y-m-d\\TH:i:sO", false);
I then call this:
console.log(pDate.getGMTOffset());
I am expecting to get the offset associated with the orignal date back (which is GMT + 1), but instead I get the local timezone of the browser instead. If the browser is set to a timezone far enough ahead GMT, the day portion of the date will also be rolled over (so the date will now appear as 25th May, 1966).
Does anyone know how to get around this and get Ext to recognise the correct timezone of the parsed date rather than the local browser timezone?
If this is not possible, can Ext be forced to use GMT rather than trying to interpret timezones?

I checked the parseDate() implementation in ExtJS source code and the documentation of Date in core JavaScript, the Date() constructor used by ExtJS does not support time zone information. JavaScript Date objects represent a UTC value, without the time zone. During parsing in ExtJS source code, the time zone is lost while the corresponding offset in minutes/seconds is added to the Date.
I then checked the source code of getGMTOffset() defined by ExtJS: it builds a time-zone string using the getTimezoneOffset() function defined in JavaScript.
Quoting the documentation of getTimezoneOffset():
The time-zone offset is the difference
between local time and Greenwich Mean
Time (GMT). Daylight savings time
prevents this value from being a
constant.
The time-zone is not a variable stored in the Date, it is a value that varies according to the period of the year that the Date falls in.
On my computer, with a French locale,
new Date(2010,1,20).getTimezoneOffset()
// -60
new Date(2010,9,20).getTimezoneOffset()
// -120
Edit: this behavior is not specific to Date parsing in ExtJS, the following note in the documentation of Date.parse() on Mozilla Doc Center is relevant here as well:
Note that while time zone specifiers
are used during date string parsing to
properly interpret the argument, they
do not affect the value returned,
which is always the number of
milliseconds between January 1, 1970
00:00:00 UTC and the point in time
represented by the argument.

I'm a little late but in latest ExtJS, you can pass an optional boolean to prevent the "rollover" in JS
http://docs.sencha.com/ext-js/4-0/#!/api/Ext.Date-method-parse

My two cents, because I can't really set all my time to 12:00 like Tim did. I posted on the sencha forum