Support manual workflow runs for tests and browser tests (#16031)

Co-authored-by: Chiedo <[email protected]>

Author: chiedo

.github/workflows/browser-test.yml

@@ -1,6 +1,8 @@
 name: Browser Tests
 
-on: [push]
+on:
+  workflow_dispatch:
+  push:
 
 jobs:
   build:
@@ -15,4 +17,4 @@ jobs:
       - name: Test
         uses: ianwalter/[email protected]
         with:
-          args: npm run browser-test
+          args: npm run browser-test

.github/workflows/test.yml

@@ -3,6 +3,7 @@
 name: Node.js Tests
 
 on:
+  workflow_dispatch:
   push:
     branches:
       - main
@@ -89,4 +90,4 @@ jobs:
         if: failure() && github.ref == 'early-access'
         env:
           SLACK_WEBHOOK: ${{ secrets.DOCS_ALERTS_SLACK_WEBHOOK }}
-          SLACK_MESSAGE: "Tests are failing on the `early-access` branch. https://github.com/github/docs-internal/tree/early-access"
+          SLACK_MESSAGE: "Tests are failing on the `early-access` branch. https://github.com/github/docs-internal/tree/early-access"