Persist LFG filters state to search params

[Sendouc]

https://github.com/Sendouc/sendou.ink/blob/rewrite/app/features/lfg/routes/lfg.tsx#L53 in essence make this backed by search params. This makes it so that filter state can be shared by sharing the URL and refreshing the page doesn't lose this state.

References:

• useSearchParamState.ts
• builds.$slug.ts (a bit different since filtering is done on server-side but here should be done on client side)

What needs to be solved:

• Filter state is potentially huge, is it ok just to throw it as "JSON.stringify" to the URL?
• Should we validate filter state when it's coming out of URL? Probably not too important.