chore: bump deps, drop eslint airbnb (it's unmaintained)

[robertsLando]

This PR bumps deps, migrates to new eslint flat config and fixes new eslint issues. List of bumped deps:

Dev:

@release-it/conventional-changelog ^7.0.2 → ^10.0.1
@types/chai ^4.3.20 → ^5.2.2
@types/sinon ^17.0.3 → ^17.0.4
@typescript-eslint/eslint-plugin ^6.21.0 → ^8.38.0
@typescript-eslint/parser ^6.21.0 → ^8.38.0
@web/test-runner ^0.19.0 → ^0.20.2
@web/test-runner-playwright ^0.11.0 → ^0.11.1
chai ^4.5.0 → ^5.2.1
chokidar ^3.6.0 → ^4.0.3
conventional-changelog-cli ^4.1.0 → ^5.0.0
eslint ^8.57.1 → ^9.32.0
eslint-config-prettier ^9.1.0 → ^10.1.8
eslint-plugin-import ^2.31.0 → ^2.32.0
eslint-plugin-prettier ^5.2.3 → ^5.5.3
nyc ^15.1.0 → ^17.1.0
prettier ^3.4.2 → ^3.6.2
release-it ^16.3.0 → ^19.0.4
rimraf ^5.0.10 → ^6.0.1
typescript ^5.7.3 → ^5.8.3

Prod:

@types/readable-stream ^4.0.18 → ^4.0.21
debug ^4.4.0 → ^4.4.1
end-of-stream ^1.4.4 → ^1.4.5
socks ^2.8.3 → ^2.8.6
ws ^8.18.0 → ^8.18.3
worker-timers ^7.1.8 → ^8.0.23

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 83.33%. Comparing base (1dd6c03) to head (8788f10).
⚠️ Report is 1 commits behind head on main.
✅ All tests successful. No failed tests found.

Additional details and impacted files

@@            Coverage Diff             @@
##             main    #2018      +/-   ##
==========================================
+ Coverage   81.57%   83.33%   +1.75%     
==========================================
  Files          25       25              
  Lines        1585     1584       -1     
  Branches      368      367       -1     
==========================================
+ Hits         1293     1320      +27     
- Misses        201      230      +29     
+ Partials       91       34      -57     

Flag	Coverage Δ
unittests	83.33% <100.00%> (+1.75%)	⬆️

Flags with carried forward coverage won't be shown. Click here to find out more.

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

🚀 New features to boost your workflow:

• 📦 JS Bundle Analysis: Save yourself from yourself by tracking and limiting bundle sizes in JS merges.