[Ai] Update test response check to verify firebase-ai (#6926)

Instead of verifying vertexAI, we should do the verification on
firebase-ai only.

Author: rlazo

.github/workflows/check-vertexai-responses.yml renamed to .github/workflows/check-firebaseai-responses.yml

@@ -1,4 +1,4 @@
-name: Check Vertex AI Responses
+name: Check Firebase AI Responses
 
 on: pull_request
 
@@ -10,30 +10,30 @@ jobs:
     steps:
       - uses: actions/checkout@11bd71901bbe5b1630ceea73d27597364c9af683 # v4.2.2
       - name: Clone mock responses
-        run: firebase-vertexai/update_responses.sh
+        run: firebase-ai/update_responses.sh
       - name: Find cloned and latest versions
         run: |
           CLONED=$(git describe --tags)
           LATEST=$(git tag --sort=v:refname | tail -n1)
           echo "cloned_tag=$CLONED" >> $GITHUB_ENV
           echo "latest_tag=$LATEST" >> $GITHUB_ENV
-        working-directory: firebase-vertexai/src/test/resources/vertexai-sdk-test-data
+        working-directory: firebase-ai/src/test/resources/vertexai-sdk-test-data
       - name: Find comment from previous run if exists
         uses: peter-evans/find-comment@3eae4d37986fb5a8592848f6a574fdf654e61f9e # v3.1.0
         id: fc
         with:
           issue-number: ${{github.event.number}}
-          body-includes: Vertex AI Mock Responses Check
+          body-includes: Firebase AI Mock Responses Check
       - name: Comment on PR if newer version is available
         if: ${{env.cloned_tag != env.latest_tag && !steps.fc.outputs.comment-id}}
         uses: peter-evans/create-or-update-comment@71345be0265236311c031f5c7866368bd1eff043 # v4.0.0
         with:
           issue-number: ${{github.event.number}}
           body: >
-            ### Vertex AI Mock Responses Check :warning:
+            ### Firebase AI Mock Responses Check :warning:
 
-            A newer major version of the mock responses for Vertex AI unit tests is available.
-            [update_responses.sh](https://github.com/firebase/firebase-android-sdk/blob/main/firebase-vertexai/update_responses.sh)
+            A newer major version of the mock responses for Firebase AI unit tests is available.
+            [update_responses.sh](https://github.com/firebase/firebase-android-sdk/blob/main/firebase-ai/update_responses.sh)
             should be updated to clone the latest version of the responses: `${{env.latest_tag}}`
       - name: Delete comment when version gets updated
         if: ${{env.cloned_tag == env.latest_tag && steps.fc.outputs.comment-id}}