feat: implement openapi

[manuel-rw]

Homarr

Thank you for your contribution. Please ensure that your pull request meets the following pull request:

• Builds without warnings or errors (pnpm buid, autofix with pnpm format:fix)
• Pull request targets dev branch
• Commits follow the conventional commits guideline
• No shorthand variable names are used (eg. x, y, i or any abbrevation)

[deepsource-io]

Here's the code health analysis summary for commits a3520e4..482c490. View details on DeepSource ↗.

Analysis Summary

Analyzer	Status	Summary	Link
JavaScript	✅ Success		View Check ↗

---

💡 If you’re a repository administrator, you can configure the quality gates from the settings.

[github-actions]

Coverage Report

Status	Category	Percentage	Covered / Total
🔵	Lines	39.85%	11676 / 29299
🔵	Statements	39.85%	11676 / 29299
🔵	Functions	36.71%	282 / 768
🔵	Branches	71.17%	1079 / 1516

File Coverage

File	Stmts	% Branch	% Funcs	% Lines	Uncovered Lines
Changed Files
apps/nextjs/src/app/[locale]/manage/layout.tsx	0%	0%	0%	0%	1-2, 23, 25-26, 28, 30-31, 33-144, 146-151, 153
apps/nextjs/src/app/[locale]/manage/tools/api/page.tsx	0%	0%	0%	0%	1, 4-6, 8-9, 11-12, 14, 16-17, 19-22, 24-25, 27-28
apps/nextjs/src/app/api/[...trpc]/route.ts	0%	0%	0%	0%	1, 3, 5-12
apps/nextjs/src/app/api/openapi/route.ts	0%	0%	0%	0%	1, 3-4, 6-8
packages/api/src/index.ts	0%	0%	0%	0%	1, 3, 5-6, 15
packages/api/src/open-api.ts	0%	0%	0%	0%	1, 3, 5-11
packages/api/src/trpc.ts	73.68%	100%	33.33%	73.68%	33-34, 36, 38-42, 56-62
packages/api/src/router/user.ts	48.38%	78.94%	100%	48.38%	77-78, 80, 96-101, 103-110, 112-117, 119-124, 126-131, 148-156, 159-165, 168-179, 181-186, 188, 197-201, 204-208, 226, 228-233, 235-243, 245-250, 252-257, 260, 262-264, 266-268, 270-276, 278-285, 290, 292-297, 299-304, 306-311, 313-318, 352-356
packages/translation/src/lang/en.ts	100%	100%	100%	100%

Generated in workflow #2685

[manuel-rw]

I will submit a stacked PR for the API keys

[Meierschlumpf]

Now looks good to me