APPLE 3001F

The tragic flaw with getting a USB stick Installer from someone else, is that modern MacOS will be tagged with the Apple-ID of the person who downloaded it, and can not be updated without re-supplying that same Apple-ID and its password. You know, the Apple-ID with their credit card sitting on it.

In Internet Recovery, these low negative thousands error messages indicate that your provided Wi-Fi Network is inadequate in some fashion, and cannot be used (for this purpose) in its current state.

Common problems include:

Hidden Network-name

required use of a proxy server to get Internet access

required use of a login page to get Internet access

Use of a login server or certificate to get Internet access

Use of PPPoE in the Mac to get Internet access (typically only applies to DSL)

Use of Fixed IP address rather than good old DHCP

Variance of the time by more than five minutes

Failure of Router to provide workable DNS server addresses, or providing 0.0.0.0 [may produce -2002f]

If you have an Ethernet port, you may in some cases be able to move your Mac close to the Router and connect to the Router using Ethernet.

The higher the number, the more obscure the problem.

Also, make certain the Date&Time and Time Zone are correct within 5 minutes.

What the.... Really??

Never faced it, never even heard of it. That's crazy! Giiiiz LOL

I stand by what I wrote.

But at least we do not have to deal with Microsoft registration codes.

Internet Recovery and wi-fi are not the best way to reinstall macOS. Any wi-fi interference, oscillation or whatever usually breaks the download and you get back to zero.

Always use ethernet to do it.

Even better, never use internet for it.

If you know anybody with a Mac, create a bootable disk with the installer and do it offline, or create this disk on a Windows PC with and app called Transmac.

Get a USB stick with the installer and you'll be fine https://support.apple.com/en-us/HT201372