About recovery mode

The picture is too low resolution to be read.

Here is the only Apple article I know about for Internet Recovery Mode issues and it only pertains to a "-1008 error":

If your Mac starts up to error -1008F - Apple Support

For any other error, it means you have some sort of networking issue. Unfortunately Apple does not provide any information or error logs to reference to assist in figuring out the issue. You can try power cycling the router....waiting at least five minutes for the router to finish booting before trying Internet Recovery Mode again.

You can also try connecting the laptop directly to the router using an Ethernet cable (plus any adapters necessary to convert USB-C or Thunderbolt to Gigabit Ethernet) which bypasses any hard to troubleshoot WiFi issues.

If none of this works, then you will have to figure out whether your home network is at fault, or a router configuration issue, or it may be an issue with your ISP (or ISP's configaration), or your local Internet. As you can see there are some things you have no control over (ISP, local Internet).

Another option if you cannot get Internet Recovery Mode to work is to create a bootable macOS USB installer if you have access to another Qualifying Mac. A Qualifying Mac is one which is compatible with the OS you are trying to create.

If you have a 2018+ Mac, then you can "Restore" the firmware if you have access to another Mac running macOS 10.15+. "Restoring" the firmware will destroy all data on the internal SSD.

Revive or restore an Intel-based Mac using Apple Configurator - Apple Support

Revive or restore a Mac with Apple silicon using Apple Configurator - Apple Support

Or you can take the laptop to an Apple Store or an Apple Authorized Service Provider for assistance.

FYI, you should always post the exact model of your Mac and OS so we can provide information for your exact situation & configuration.

Writing an effective Apple Support Communities question - Apple Community

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.