Domain Transfer and Email Account Concerns with Mailgun Integration

We’re in the process of transferring our domain to Shopify, and we use Mailgun for our email services. It’s crucial to us that our email accounts remain uninterrupted during and after the transfer. Can you provide specific instructions to seamlessly maintain the functionality of our Mailgun-integrated email accounts? Additionally, we seek assurance that the transfer won’t impact the reliability of our email services. Your prompt attention to this matter is appreciated.