Merge pull request #317 from guneet-xyz/316-follow-up-315

fix: add Postgres service container and DB migrations to problem test/push workflows

fix: remove self-referencing path trigger from test workflows

fix: use valid postgres URL format in CI workflows for mustang startup

fix: regenerate autogenerated workflows for TypeScript mustang build

fix: add type declaration for autogenerated problems module and format lockfile

refactor: extract safeParseJsonResponse helper and harden all endpoints

fix: harden mustang client response parsing with safeParse and JSON try/catch

fix: increase submit-command timeout and use safeParse for response validation

feat: absorb sessions.ts and submissions.ts business logic into mustang service

Merge pull request #315 from guneet-xyz/314-migrate-mustang-to-typescript

fix: add scoped tsconfig for mustang CI and format drizzle meta files

feat: migrate mustang from Go to TypeScript

Merge pull request #312 from guneet-xyz/307-cron-service

fix: remaining CI failures — errcheck on claim success path, add cron cache to tsc workflow