I'll create a Vercel-style UI for member invitations with custom permissions that shows a list of permissions when "Member" is selected and displays the selected permissions in the invite card.

This Vercel-style UI for member invitations includes:

1. Email Input Fields - Add multiple email addresses for team members
2. Role Selection - Choose from Owner, Member, Billing, or Viewer roles

3. Custom Permissions - When "Member" is selected, you can add specific permissions:

   • Shows a list of 10 permissions (Members, Analytics, Deployments, etc.)
   • At least one permission is required (validation included)
   • Selected permissions appear as badges in the invite card
4. Invite Link Button - Option to share an invite link
5. Add More Button - Add multiple members at once
6. Responsive Design - Works on all screen sizes

The UI follows Vercel's dark theme aesthetic with proper validation to ensure at least one permission is selected when the Member role is chosen. The permissions are displayed as badges that can be easily removed, and the Invite button is only enabled when all required fields are completed.