The -2005F error code on Internet Recovery usually indicates an issue with the network connection during the recovery process. Here are a few steps you can try to fix this error:
1. Check your network connection: Ensure that you have a stable and reliable internet connection. If you're using Wi-Fi, try connecting your MacBook Pro directly to the router with an Ethernet cable to rule out any Wi-Fi issues.
2. Reset NVRAM/PRAM: Start by resetting the NVRAM (non-volatile random-access memory) or PRAM (parameter random-access memory) on your MacBook Pro. This can help reset certain system settings that might be causing the issue.
3. Use a wired internet connection: If you're currently using Wi-Fi, try connecting your MacBook Pro directly to your router or modem using an Ethernet cable. This can provide a more stable and reliable internet connection during the recovery process.
4. Try a different network: If possible, try using a different network, such as a different Wi-Fi network or a mobile hotspot, to perform the Internet Recovery.
5. Contact Apple Support: If the above steps don't resolve the issue, it's recommended to reach out to Apple Support or visit an Apple Authorized Service Provider for further assistance.
Remember to back up your important data before attempting any troubleshooting steps, as it's possible that the recovery process may require erasing your hard drive.