[CI][Bench] Refactor bench workflow (#20742)

Author: lukaszstolarczuk

.github/workflows/sycl-linux-run-tests.yml

@@ -378,5 +378,4 @@ jobs:
         dry_run: ${{ inputs.benchmark_dry_run }}
         exit_on_failure: ${{ inputs.benchmark_exit_on_failure }}
         build_ref: ${{ inputs.repo_ref }}
-      env:
-        RUNNER_TAG: ${{ inputs.runner }}
+        runner: ${{ inputs.runner }}