feat(internal): add NATS abstraction and DB connection manager

- internal/nats: Connection interface + InProcessConn, 7 tests
- internal/db: PostgreSQL connection pool + migration runner, 5 tests
- 75 total tests, build + vet clean

backend/go.sum

@@ -1,2 +1,4 @@
 github.com/joho/godotenv v1.5.1 h1:7eLL/+HRGLY0ldzfGMeQkb7vMd0as4CfYvUVzLqw0N0=
 github.com/joho/godotenv v1.5.1/go.mod h1:f4LDr5Voq0i2e/R5DDNOoa2zzDfwtkZa6DnEwAbqwq4=
+github.com/lib/pq v1.12.3 h1:tTWxr2YLKwIvK90ZXEw8GP7UFHtcbTtty8zsI+YjrfQ=
+github.com/lib/pq v1.12.3/go.mod h1:/p+8NSbOcwzAEI7wiMXFlgydTwcgTr3OSKMsD2BitpA=