refactor: linter, tsc, federation-sdk and client api

[ricardogarim]

This is the last big PR aimed at wrapping up the foundational work for the project. It includes:

• Fixes to past linter and typecheck issues that were holding us back.
• Minor adjustments and refactors to the federation-sdk, especially around signing and making requests.
• Improvements to internal endpoint structure and service separation** — keeping controllers lean by pushing logic down into their respective services.

We’ve also added some TODOs in the code to track future improvements. From here on out, we'll keep PRs smaller, focused, and easier to review.

Ongoing and upcoming work is being tracked in our Jira board.

[debdutdeb]

is this using tsserver's default formatter? since i don't see prettier here. or is formatting not part of this pr

[codecov-commenter]

Codecov Report

Attention: Patch coverage is 53.73134% with 31 lines in your changes missing coverage. Please review.

Project coverage is 63.31%. Comparing base (66e6a48) to head (4a040a9).
Report is 11 commits behind head on main.

Files with missing lines	Patch %	Lines
packages/homeserver/src/makeRequest.ts	25.00%	15 Missing ⚠️
packages/homeserver/src/events/roomState.ts	10.00%	9 Missing ⚠️
...omeserver/src/procedures/getPublicKeyFromServer.ts	12.50%	7 Missing ⚠️

Additional details and impacted files

@@             Coverage Diff             @@
##             main      #15       +/-   ##
===========================================
- Coverage   76.66%   63.31%   -13.36%     
===========================================
  Files          47       25       -22     
  Lines        3450     1829     -1621     
===========================================
- Hits         2645     1158     -1487     
+ Misses        805      671      -134     

☔ View full report in Codecov by Sentry.
📢 Have feedback on the report? Share it here.

🚀 New features to boost your workflow:

• ❄️ Test Analytics: Detect flaky tests, report on failures, and find test suite problems.
• 📦 JS Bundle Analysis: Save yourself from yourself by tracking and limiting bundle sizes in JS merges.

[ricardogarim]

is this using tsserver's default formatter? since i don't see prettier here. or is formatting not part of this pr

we are using biome

[debdutdeb]

@ricardogarim how can I get biome to not take over language server - had to disable it because of that