feat(api): migrate media clients and universal scripts

apps/api/migrations/0039_exclude_easyai_media_catalog.sql

@@ -0,0 +1,19 @@
+-- EasyAI/server-main is intentionally not migrated as an AI Gateway runtime
+-- provider. Keep its historical catalog rows for traceability, but hide them
+-- from fresh admin selection and mark the exclusion reason explicitly.
+UPDATE base_model_catalog
+SET status = 'deprecated',
+    metadata = COALESCE(metadata, '{}'::jsonb) || jsonb_build_object(
+      'selectable', false,
+      'migrationExcludedReason', 'excluded from AI Gateway media runtime migration to avoid gateway-to-server-main loopback',
+      'migrationExcludedAt', '0039_exclude_easyai_media_catalog'
+    )
+WHERE provider_key = 'easyai'
+  AND model_type ?| ARRAY[
+    'image_generate',
+    'image_edit',
+    'video_generate',
+    'image_to_video',
+    'omni_video',
+    'video_edit'
+  ];