refactor: Update workflow triggers for E2E tests and deployment processes

.gitea/workflows/deploy.yml

@@ -3,14 +3,12 @@ on:
   workflow_run:
     workflows:
       - Build and Push Docker Image
-    branches:
-      - main
     types:
       - completed
 
 jobs:
   deploy:
-    if: ${{ github.event.workflow_run.conclusion == 'success' }}
+    if: ${{ github.event_name != 'workflow_run' || (github.event.workflow_run.conclusion == 'success' && (github.event.workflow_run.head_branch == 'main' || github.event.workflow_run.head_branch == 'refs/heads/main')) }}
     runs-on: ubuntu-latest
     env:
       DEFAULT_BRANCH: main