feat: Support PS sync for quotes

[PartMan7]

Enable a room setting that syncs in-bot quotes with room quotes.

The setting should be stored in room configs (something like quoteSync: true).

When enabled, this setting should do the following:

• Any time a quote is added on Showdown (with the text ^Quote.*was added by), or when the command ,quote sync is run, a sync should be attempted.
• The sync will read the quotes from the PS quotes command, parse it into the new quotes list, and update the database. At the time of sync, all /me syntax should take every quote into consideration for [name] detection (see src/ps/commands/quotes.tsx:90).
• If a quote is attempted to be added on PartBot in a room that has sync enabled, don't write to the DB directly. Instead, show an error (add the quote to PS instead) and add an HTML box to the user that would add the quote to PS when clicked.

[AdityaSanjayPawar]

I
would like to contribute for same could you please assign me ?

[PartMan7]

Sure! I'll update the base issue with the details of the task

Thanks!

[PartMan7]

Alright, I've added in details; let me know if there's any other clarifications you'd like!

[PartMan7]

Hi @AdityaSanjayPawar, did you ever get a chance to look at this?

[PartMan7]

Hi @AdityaSanjayPawar, I'll unassign you for now since there hasn't been any response for a while

Tag me if you're still interested