refactor: Update workflow triggers for E2E tests and deployment processes

.gitea/workflows/test-e2e.yml

@@ -1,17 +1,17 @@
 name: Run E2E Tests
 
 on:
-  push:
-    branches:
-      - '**'
-  pull_request:
-    branches:
-      - main
+  workflow_run:
+    workflows:
+      - Run Tests
+    types:
+      - completed
   workflow_dispatch:
 
 jobs:
   e2e:
     name: E2E Tests
+    if: ${{ github.event_name == 'workflow_dispatch' || (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
     container: mcr.microsoft.com/playwright/python:v1.55.0-jammy
     env: