metrics_center: bump outdated deps, prepare for release (#9421)

Author: kevmoo

packages/metrics_center/CHANGELOG.md

@@ -1,6 +1,8 @@
-## NEXT
+## 1.0.14
 
 * Updates minimum supported SDK version to Flutter 3.27/Dart 3.6.
+* Updates dependency on `package:googleapis` to `^14.0.0`.
+* Updates dependency on `package:googleapis_auth` to `^2.0.0`.
 * Update dependency `http: ^1.0.0`
 
 ## 1.0.13

packages/metrics_center/pubspec.yaml

@@ -1,5 +1,5 @@
 name: metrics_center
-version: 1.0.13
+version: 1.0.14
 description:
   Support multiple performance metrics sources/formats and destinations.
 repository: https://github.com/flutter/packages/tree/main/packages/metrics_center
@@ -12,8 +12,8 @@ dependencies:
   _discoveryapis_commons: ^1.0.0
   crypto: ^3.0.1
   gcloud: ^0.8.2
-  googleapis: ^12.0.0
-  googleapis_auth: ^1.1.0
+  googleapis: ^14.0.0
+  googleapis_auth: ^2.0.0
   http: ^1.0.0
 
 dev_dependencies: