Chore: Switching to new output format for detect breaking changes action (#58516)

* Switching to new output format for detect breaking changes action

* linting: wrap $GITHUB_OUTPUT with double quotes

* linting: fix shellcheck issues in the right place 🤦‍♂️

Co-authored-by: Levente Balogh <balogh.levente.hu@gmail.com>

scripts/check-breaking-changes.sh

@@ -48,8 +48,8 @@ while IFS=" " read -r -a package; do
 done <<< "$PACKAGES"
 
 # "Export" the message to an environment variable that can be used across Github Actions steps
-echo "::set-output name=is_breaking::$EXIT_CODE"
-echo "::set-output name=message::$GITHUB_MESSAGE"
+echo "is_breaking=$EXIT_CODE" >> "$GITHUB_OUTPUT"
+echo "message=$GITHUB_MESSAGE" >> "$GITHUB_OUTPUT"
 
 # We will exit the workflow accordingly at another step
 exit 0