Update the needs of publishing test results job.

Signed-off-by: Jay Zhang <[email protected]>

.github/workflows/unit_tests_ci.yml

@@ -15,7 +15,7 @@ concurrency:
 
 jobs:
 
-  Test_min_py_with_min_tf:
+  Test_min_py_with_min_tf: # Do not change this name because it is used in Ruleset of this repo.
     strategy:
       fail-fast: false
     runs-on: ubuntu-latest
@@ -42,7 +42,7 @@ jobs:
           name: Test Results (Py38-TF2.9-18-ubuntu)
           path: ./**/test-results-*.xml
 
-  Test_max_py_with_latest_tf:
+  Test_max_py_with_latest_tf: # Do not change this name because it is used in Ruleset of this repo.
     strategy:
       fail-fast: false
     runs-on: ubuntu-latest
@@ -123,7 +123,7 @@ jobs:
 
   publish-test-results:
     name: "Publish Tests Results to Github"
-    needs: run_tests
+    needs: [Test_min_py_with_min_tf, Test_max_py_with_latest_tf, Extra_tests]
     runs-on: ubuntu-latest
     permissions:
       checks: write