[CI] Change artifact for Ubuntu 22 build in pre-commit (#17875)

Currently, in precommit, both Ubuntu 24 and Ubuntu 22, upload build
artifact with the same name. This causes upload job to fail. For
example:
https://github.com/intel/llvm/actions/runs/14293545650/job/40057838391?pr=17710

This PR changes the suffix of the build archive for Ubuntu 22 build.

Author: uditagarwal97

.github/workflows/sycl-linux-precommit.yml

@@ -69,8 +69,8 @@ jobs:
     with:
       build_ref: ${{ github.sha }}
       build_cache_root: "/__w/"
-      build_artifact_suffix: "default"
-      build_cache_suffix: "default"
+      build_artifact_suffix: "ubuntu22"
+      build_cache_suffix: "ubuntu22"
       build_image: "ghcr.io/intel/llvm/ubuntu2204_build:latest"
       changes: ${{ needs.detect_changes.outputs.filters }}