Fix agentic triage integrity and add workflow to ensure lock file is up to date (#10528)

Example done for similar workflow in
https://github.com/Azure/azure-sdk-for-net/blob/main/.github/workflows/issue-triage.md

Author: timotheeguerin

.github/aw/actions-lock.json

@@ -5,10 +5,10 @@
       "version": "v9",
       "sha": "373c709c69115d41ff229c7e5df9f8788daa9553"
     },
-    "github/gh-aw-actions/setup@v0.68.3": {
+    "github/gh-aw-actions/setup@v0.71.1": {
       "repo": "github/gh-aw-actions/setup",
-      "version": "v0.68.3",
-      "sha": "ba90f2186d7ad780ec640f364005fa24e797b360"
+      "version": "v0.71.1",
+      "sha": "239aec45b78c8799417efdd5bc6d8cc036629ec1"
     },
     "github/gh-aw/actions/setup@v0.57.2": {
       "repo": "github/gh-aw/actions/setup",

.github/workflows/bump-tcgc-csharp.lock.yml

@@ -6,7 +6,7 @@ description: |
   exists, files a tracking issue assigned to GitHub Copilot to perform the upgrade.
 
 on:
-  schedule: daily
+  schedule: "13 3 * * *"
   workflow_dispatch:
 
 permissions: read-all

.github/workflows/bump-tcgc-csharp.md

@@ -0,0 +1,28 @@
+name: Check Agentic Workflows
+
+permissions:
+  contents: read
+
+on:
+  pull_request:
+    paths:
+      - ".github/workflows/*.md"
+      - ".github/workflows/*.lock.yml"
+      - ".github/workflows/check-agentic-workflows.yml"
+
+jobs:
+  check-lock-files:
+    runs-on: ubuntu-latest
+    steps:
+      - uses: actions/checkout@v4
+
+      - name: Install gh-aw
+        run: curl -sL https://raw.githubusercontent.com/github/gh-aw/main/install-gh-aw.sh | bash
+
+      - name: Compile and check for drift
+        run: |
+          gh aw compile
+          if ! git diff --exit-code .github/workflows/*.lock.yml; then
+            echo "::error::Lock files are out of date. Run 'gh aw compile' locally and commit the changes."
+            exit 1
+          fi