PRs can't publish the docs

.github/workflows/ci.yml

@@ -1,6 +1,10 @@
 name: CI
 
-on: [push, pull_request]
+on:
+  push:
+    branches:
+      - main
+  pull_request:
 
 jobs:
   build:
@@ -8,15 +12,9 @@ jobs:
 
     steps:
     - uses: actions/checkout@master
+
     - name: Build
       run: cargo build --verbose
     - name: Run tests
       run: cargo test --verbose
 
-    - name: Build Documentation
-      run: cargo doc --no-deps
-    - name: Deploy Docs
-      uses: peaceiris/actions-gh-pages@v3
-      with:
-        github_token: ${{ secrets.GITHUB_TOKEN }}
-        publish_dir: ./target/doc

.github/workflows/docs.yml

@@ -0,0 +1,21 @@
+name: Docs
+
+on:
+  push:
+    branches:
+      - main
+
+jobs:
+  build:
+    runs-on: ubuntu-latest
+
+    steps:
+    - uses: actions/checkout@master
+
+    - name: Build Documentation
+      run: cargo doc --no-deps
+    - name: Deploy Docs
+      uses: peaceiris/actions-gh-pages@v3
+      with:
+        github_token: ${{ secrets.GITHUB_TOKEN }}
+        publish_dir: ./target/doc