feat: external databases — register, probe, encrypted credentials

Databases hosted outside Containr can now be registered alongside
managed ones. The connection is probed before storing (protocol-level
for postgres/redis-family via real drivers, TCP dial for the rest),
credentials are encrypted at rest and never returned, and external rows
skip managed lifecycle actions, backups, and Docker metrics.

- POST /databases/register-external — probe + create
- POST /databases/test-connection — ad-hoc probe (ok/latency_ms/error)
- POST /databases/{id}/test-connection — re-probe stored credentials
- provider/external fields on database services; privileged reads get a
  composed connection URL with loopback hosts rewritten to the caller's
- CLI: databases register + test-connection; MCP: 3 new tools
- UI: managed/external toggle in the create modal, external badge and
  host display, per-row test button, backups section hidden
- Migration widens the plan CHECK to admit 'external'

Generated with [Devin](https://devin.ai)

Co-Authored-By: Devin <158243242+devin-ai-integration[bot]@users.noreply.github.com>

app/backend/internal/api/routes.go

@@ -383,6 +383,9 @@ func SetupRoutes(router *gin.Engine, db *database.DB, redis *database.Redis, cfg
 			authed.POST("/builds/plan", buildHandler.GetBuildPlan)
 
 			authed.POST("/databases", databaseHandler.CreateDatabase)
+			authed.POST("/databases/register-external", databaseHandler.RegisterExternalDatabase)
+			authed.POST("/databases/test-connection", databaseHandler.TestDatabaseConnection)
+			authed.POST("/databases/:id/test-connection", databaseHandler.TestDatabaseConnectionByID)
 			authed.PUT("/databases/:id", databaseHandler.UpdateDatabase)
 			authed.DELETE("/databases/:id", databaseHandler.DeleteDatabase)
 			authed.POST("/databases/:id/action", databaseHandler.PerformDatabaseAction)