refactor: publish.yml dispatches deploy-website instead of workflow_run

Co-authored-by: aaronpowell <434140+aaronpowell@users.noreply.github.com>

.github/workflows/deploy-website.yml

@@ -4,15 +4,7 @@
 name: Deploy Website to GitHub Pages
 
 on:
-  # Runs after the Publish to main workflow completes successfully.
-  # Note: pushes made by GITHUB_TOKEN do not trigger push-based workflows,
-  # so workflow_run is required to chain off the publish workflow.
-  workflow_run:
-    workflows: ["Publish to main"]
-    types:
-      - completed
-
-  # Allows you to run this workflow manually from the Actions tab
+  # Triggered manually from the Actions tab, or dispatched by the Publish to main workflow.
   workflow_dispatch:
 
 # Sets permissions of the GITHUB_TOKEN to allow deployment to GitHub Pages
@@ -30,7 +22,6 @@ concurrency:
 jobs:
   # Build job
   build:
-    if: ${{ github.event_name == 'workflow_dispatch' || github.event.workflow_run.conclusion == 'success' }}
     runs-on: ubuntu-latest
     steps:
       - name: Checkout