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/migrations_goose/20261013000000_external_databases.sql

@@ -0,0 +1,33 @@
+-- +goose Up
+-- +goose StatementBegin
+ALTER TABLE database_services
+    ADD COLUMN IF NOT EXISTS provider VARCHAR(20) NOT NULL DEFAULT 'managed',
+    ADD COLUMN IF NOT EXISTS external_host VARCHAR(255),
+    ADD COLUMN IF NOT EXISTS external_port INTEGER,
+    ADD COLUMN IF NOT EXISTS external_name VARCHAR(255),
+    ADD COLUMN IF NOT EXISTS external_username VARCHAR(255),
+    ADD COLUMN IF NOT EXISTS external_password TEXT NOT NULL DEFAULT '',
+    ADD COLUMN IF NOT EXISTS external_ssl BOOLEAN NOT NULL DEFAULT false;
+
+ALTER TABLE database_services
+    DROP CONSTRAINT IF EXISTS database_services_plan_check,
+    ADD CONSTRAINT database_services_plan_check
+        CHECK (plan IN ('hobby', 'starter', 'standard', 'business', 'external'));
+-- +goose StatementEnd
+
+-- +goose Down
+-- +goose StatementBegin
+ALTER TABLE database_services
+    DROP CONSTRAINT IF EXISTS database_services_plan_check,
+    ADD CONSTRAINT database_services_plan_check
+        CHECK (plan IN ('hobby', 'starter', 'standard', 'business'));
+
+ALTER TABLE database_services
+    DROP COLUMN IF EXISTS provider,
+    DROP COLUMN IF EXISTS external_host,
+    DROP COLUMN IF EXISTS external_port,
+    DROP COLUMN IF EXISTS external_name,
+    DROP COLUMN IF EXISTS external_username,
+    DROP COLUMN IF EXISTS external_password,
+    DROP COLUMN IF EXISTS external_ssl;
+-- +goose StatementEnd