feat: auto-insert `$schema` when missing from DB file on startup (#1717)

* Initial plan

* Add auto-fix for missing $schema in JSON/JSON5 DB files

Co-authored-by: typicode <5502029+typicode@users.noreply.github.com>

* Delete package-lock.json

* Normalize DB adapter reads/writes

* Move adapters under src/adapters and remove service auto-fixes

* update

---------

Co-authored-by: copilot-swe-agent[bot] <198982749+Copilot@users.noreply.github.com>
Co-authored-by: typicode <5502029+typicode@users.noreply.github.com>
Co-authored-by: typicode <typicode@gmail.com>