test: migrate remaining e2e tests to integration tests (backport #22364) (#22381)

Co-authored-by: Akhil Kumar P <36399231+akhilkumarpilli@users.noreply.github.com>
Co-authored-by: Julien Robert <julien@rbrt.fr>

.github/workflows/test.yml

@@ -113,37 +113,6 @@ jobs:
           name: "${{ github.sha }}-integration-coverage"
           path: ./tests/integration-profile.out
 
-  test-e2e:
-    runs-on: ubuntu-latest
-    steps:
-      - uses: actions/checkout@v4
-      - uses: actions/setup-go@v5
-        with:
-          go-version: "1.23"
-          check-latest: true
-          cache: true
-          cache-dependency-path: go.sum
-      - uses: technote-space/get-diff-action@v6.1.2
-        id: git_diff
-        with:
-          PATTERNS: |
-            **/*.go
-            go.mod
-            go.sum
-            **/go.mod
-            **/go.sum
-            **/Makefile
-            Makefile
-      - name: e2e tests
-        if: env.GIT_DIFF
-        run: |
-          make test-e2e-cov
-      - uses: actions/upload-artifact@v3
-        if: env.GIT_DIFF
-        with:
-          name: "${{ github.sha }}-e2e-coverage"
-          path: ./tests/e2e-profile.out
-
   test-system: # v2 system tests are in v2-test.yml
     runs-on: ubuntu-latest
     steps:
@@ -186,7 +155,7 @@ jobs:
 
   repo-analysis:
     runs-on: ubuntu-latest
-    needs: [tests, test-integration, test-e2e]
+    needs: [tests, test-integration]
     steps:
       - uses: actions/checkout@v4
       - uses: technote-space/get-diff-action@v6.1.2