refactor: inline packages/db and packages/types into api package

Phase 2 extraction: groombook/api from groombook/app monorepo.

Changes:
- Move packages/db content to apps/api/src/db/
- Move packages/types content to apps/api/src/types/
- Inline database schema and migrations into api package
- Update Dockerfile to build single package
- Update CI workflow for single-package structure
- Fix vitest.config.ts aliases

Co-Authored-By: Paperclip <noreply@paperclip.ing>

apps/api/migrations/0014_customer_notes.sql

@@ -0,0 +1,3 @@
+ALTER TABLE appointments ADD COLUMN customer_notes TEXT;
+
+CREATE INDEX idx_appointments_customer_notes ON appointments (client_id) WHERE customer_notes IS NOT NULL;