No recovery with cmd-R

Most likely, the issue is your wireless connection. I suggest that you try temporarily connecting your notebook directly to your Internet modem/router by Ethernet, and then, try Recovery Mode again.

Some of the reasons for having issues using a wireless connection are:

• The wireless network is configured to use a hidden (non-broadcast) network name or SSID.
• The wireless network is secured with either WEP or WPA-Enterprise.
• The connection requires certificate-based authentication / 802.1x
• The connection requires the use of Proxies (where specific proxy servers must be configured in network preferences)
• Captive Wi-Fi networks (where you click an “Agree” button to access the Internet)
• PPPoE (where there is no router handling the PPPoE connection)
• Failure of the router to provide a workable DNS server address, or providing 0.0.0.0. This typically is seen with a -2002f or -2003f error message.

You can reinstall the macOS.

https://support.apple.com/en-us/HT204904

https://www.macworld.co.uk/how-to/mac/mac-recovery-partition-3636717/

3-2-1 Backup Strategy: three copies of your data, two different methods, and one offsite.

Boot clone https://discussions.apple.com/docs/DOC-10081

How to use Time Machine to back up or restore your Mac: https://support.apple.com/en-us/HT201250

Use DiskUtility Restore feature https://support.apple.com/guide/disk-utility/restore-a-disk-dskutl14062/mac

If you are not able to enter Recovery Mode, then there may be something amiss with the recovery partition on your Mac, and you may find the following article helpful:

• macOS: Putting a Recovery Partition on Your Mac (Without Reinstalling macOS) - the Mac Observer