[CI][PreCommit] Don't skip E2E if some check-* failed (#10742)

Missed that piece when switching pre-commit to pull_request trigger.

Author: aelovikov-intel

.github/workflows/sycl_precommit_linux.yml

@@ -66,6 +66,7 @@ jobs:
 
   test:
     needs: [build, detect_changes]
+    if: ${{ always() && !cancelled() && needs.build.outputs.build_conclusion == 'success' }}
     strategy:
       fail-fast: false
       matrix: