fix: add workflow_dispatch trigger and fix badge URL to auths-dev.github.io

Author: bordumb

.github/workflows/deploy-badge-site.yml

@@ -4,6 +4,7 @@ on:
     branches: [main]
     paths:
       - 'docs/**'
+  workflow_dispatch:
 
 permissions:
   pages: write

README.md

@@ -4,7 +4,7 @@ This example demonstrates how to add a "Verified by Auths" badge and verificatio
 
 ## Verification Status
 
-[![Commits Verified by Auths](docs/badge.svg)](https://your-org.github.io/example-verify-badge/)
+[![Commits Verified by Auths](docs/badge.svg)](https://auths-dev.github.io/example-verify-badge/)
 
 ## Quick Start