refactor: Update workflow triggers for E2E tests and deployment processes

.gitea/workflows/build-and-push.yml

@@ -2,15 +2,13 @@ name: Build and Push Docker Image
 on:
   workflow_run:
     workflows:
-      - Run Tests
-    branches:
-      - main
+      - Run E2E Tests
     types:
       - completed
 
 jobs:
   build-and-push:
-    if: ${{ github.event.workflow_run.conclusion == 'success' }}
+    if: ${{ github.event_name != 'workflow_run' || (github.event.workflow_run.conclusion == 'success' && (github.event.workflow_run.head_branch == 'main' || github.event.workflow_run.head_branch == 'refs/heads/main')) }}
     runs-on: ubuntu-latest
     env:
       DEFAULT_BRANCH: main
@@ -41,6 +39,10 @@ jobs:
             sha="${WORKFLOW_RUN_HEAD_SHA}"
           fi
 
+          if [[ "$ref_name" == refs/heads/* ]]; then
+            ref_name="${ref_name#refs/heads/}"
+          fi
+
           if [ "$ref_name" = "${DEFAULT_BRANCH:-main}" ]; then
             echo "on_default=true" >> "$GITHUB_OUTPUT"
           else

.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

.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: