Rewrite to a API trait.

backend-actix/gamenight-api.yaml

@@ -337,6 +337,8 @@ components:
           type: string
         name:
           type: string
+        location_id:
+          type: string
         datetime:
           type: string
         owner_id:
@@ -408,6 +410,16 @@ components:
           type: string
       required:
         - user_id
+    OwnedGame:
+      title: OwnedGame
+      type: object
+      properties:
+        game_id:
+          type: string
+        location_id:
+          type: string
+      required:
+        - game_id
     LocationId:
       title: LocationId
       type: object
@@ -499,7 +511,7 @@ components:
     GameIdsResponse:
       type: array
       items:
-        type: string
+        $ref: "#/components/schemas/OwnedGame"
     UserIdsResponse:
       type: array
       items: