refactor: remove success toast and prioritize public domain URL

Remove redundant success toast messages from Vercel and Netlify deploy components. Additionally, prioritize the public domain URL over the private domain in the Vercel deploy action for consistency and clarity.

app/components/deploy/VercelDeploy.client.tsx

@@ -174,15 +174,6 @@ export function useVercelDeploy() {
         source: 'vercel',
       });
 
-      toast.success(
-        <div>
-          Deployed successfully to Vercel!{' '}
-          <a href={data.deploy.url} target="_blank" rel="noopener noreferrer" className="underline">
-            View site
-          </a>
-        </div>,
-      );
-
       return true;
     } catch (err) {
       console.error('Vercel deploy error:', err);