[CI] Update nightly sycl-cts (#16587)

Disabled some redundant steps for run-only mode.
Test-run: https://github.com/intel/llvm/actions/runs/12708106400

Author: KornevNikita

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

@@ -222,7 +222,7 @@ jobs:
         merge_ref: ${{ inputs.merge_ref }}
         cache_path: "/__w/repo_cache/"
     - name: Checkout SYCL CTS tests
-      if: inputs.tests_selector == 'cts'
+      if: inputs.tests_selector == 'cts' && inputs.cts_testing_mode != 'run-only'
       uses: ./devops/actions/cached_checkout
       with:
         path: khronos_sycl_cts
@@ -231,7 +231,7 @@ jobs:
         default_branch: 'main'
         cache_path: "/__w/repo_cache/"
     - name: SYCL CTS GIT submodules init
-      if: inputs.tests_selector == 'cts'
+      if: inputs.tests_selector == 'cts' && inputs.cts_testing_mode != 'run-only'
       run: |
         git -C khronos_sycl_cts submodule update --init
     - name: Install drivers

.github/workflows/sycl-nightly.yml

@@ -186,14 +186,12 @@ jobs:
             image: ghcr.io/intel/llvm/ubuntu2404_intel_drivers:latest
             image_options: -u 1001 --device=/dev/dri --privileged --cap-add SYS_ADMIN
             target_devices: opencl:cpu
-            tests_selector: cts
 
           - name: SYCL-CTS on L0 gen12
             runner: '["Linux", "gen12"]'
             image: ghcr.io/intel/llvm/ubuntu2404_intel_drivers:latest
             image_options: -u 1001 --device=/dev/dri --privileged --cap-add SYS_ADMIN
             target_devices: level_zero:gpu
-            tests_selector: cts
     uses: ./.github/workflows/sycl-linux-run-tests.yml
     with:
       name: ${{ matrix.name }}
@@ -202,9 +200,8 @@ jobs:
       image: ${{ matrix.image }}
       image_options: ${{ matrix.image_options }}
       target_devices: ${{ matrix.target_devices }}
-      tests_selector: ${{ matrix.tests_selector }}
+      tests_selector: cts
       ref: ${{ github.sha }}
-      merge_ref: ''
       sycl_toolchain_artifact: sycl_linux_default
       sycl_toolchain_archive: ${{ needs.ubuntu2204_build.outputs.artifact_archive_name }}
       sycl_toolchain_decompress_command: ${{ needs.ubuntu2204_build.outputs.artifact_decompress_command }}