[CI] Fix manual triggering of SYCL E2E workflow (#15529)

Currently, if we try to manually run SYCL E2E workflow, it does not
execute any job. For example:
https://github.com/intel/llvm/actions/runs/11062297137
This PR fixes that.

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

@@ -151,7 +151,7 @@ permissions:
 
 jobs:
   run:
-    if: inputs.skip_run == 'false'
+    if: github.event_name == 'workflow_dispatch' || inputs.skip_run == 'false'
     name: ${{ inputs.name }}
     runs-on: ${{ fromJSON(inputs.runner) }}
     container: