[stable2509] Backport #10343 (#10344)

Backport #10343 into `stable2509` from EgorPopelyaev.

See the
[documentation](https://github.com/paritytech/polkadot-sdk/blob/master/docs/BACKPORT.md)
on how to use this bot.

<!--
  # To be used by other automation, do not modify:
  original-pr-number: #${pull_number}
-->

Co-authored-by: Egor_P <egor@parity.io>

Author: paritytech-release-backport-bot[bot]

.github/workflows/release-30_publish_release_draft.yml

@@ -179,7 +179,7 @@ jobs:
           GITHUB_TOKEN: ${{ steps.generate_write_token.outputs.token }}
         run: |
           mkdir -p ${{ github.workspace}}/runtimes/
-          gh run download ${{ github.event.inputs.build_run_id }} --dir ${{ github.workspace}}/runtimes
+          gh run download ${{ inputs.build_run_id }} --dir ${{ github.workspace}}/runtimes
           ls -la ${{ github.workspace}}/runtimes
 
       - name: Get runtime info

.github/workflows/release-reusable-rc-build.yml

@@ -42,19 +42,32 @@ jobs:
     # However, env variables don't work for forks: https://github.com/orgs/community/discussions/44322
     # This workaround sets the container image for each job using 'set-image' job output.
     runs-on: ubuntu-latest
+    env:
+      BINARY: ${{ inputs.binary }}
     outputs:
       IMAGE: ${{ steps.set_image.outputs.IMAGE }}
+      RUNNER: ${{ steps.set_image.outputs.RUNNER }}
     steps:
       - name: Checkout
         uses: actions/checkout@d632683dd7b4114ad314bca15554477dd762a938 # v4.2.0
 
       - id: set_image
-        run: cat .github/env >> $GITHUB_OUTPUT
+        run: |
+          cat .github/env >> $GITHUB_OUTPUT
+          RUNNER=""
+          if [[ "${BINARY}" =~ "polkadot-parachain" || "${BINARY}" =~ "polkadot-omni-node" ]]; then
+            RUNNER="ubuntu-latest-m"
+            echo "Using ubuntu-latest-m runner"
+          else
+            RUNNER="ubuntu-latest"
+            echo "Using ubuntu-latest runner"
+          fi
+          echo "RUNNER=${RUNNER}" >> $GITHUB_OUTPUT
 
   build-rc:
     if: ${{ inputs.target == 'x86_64-unknown-linux-gnu' }}
     needs: [set-image]
-    runs-on: ubuntu-latest-m
+    runs-on: ${{ needs.set-image.outputs.RUNNER }}
     environment: release
     container:
       image: ${{ needs.set-image.outputs.IMAGE }}