Include prod and dev deployments in big brain API responses (#40761)

GitOrigin-RevId: 45a5cbaf7c1a6308803856cd6582dcb562973364

Author: atrakh

management-openapi.json

@@ -81,6 +81,12 @@
             "type": "integer",
             "format": "int64"
           },
+          "devDeploymentName": {
+            "type": [
+              "string",
+              "null"
+            ]
+          },
           "id": {
             "$ref": "#/components/schemas/ProjectId"
           },
@@ -90,6 +96,12 @@
           "name": {
             "$ref": "#/components/schemas/ProjectName"
           },
+          "prodDeploymentName": {
+            "type": [
+              "string",
+              "null"
+            ]
+          },
           "slug": {
             "$ref": "#/components/schemas/ProjectSlug"
           },