Why can't I reinstall macOS Sequoia on my MacBook Air M4?

Thank you for posting the error message (albeit sideways :-))

This looks like it could be a network error. It may be transient, due to some server issue.

How is your mac connected to the internet? Is the connection otherwise stable?

Does your mac have an OS installed? Which one?

Are you running the installer from Recovery mode? If not, you may try it that way.

Generic suggestions from Apple

If an error occurred while updating or installing macOS

More intensive suggests, that will require some Effort on the part of the Recipient ( you ) @ sarmaida

There are factors:

Some which are beyond your control and those which are totally under your control

Like poor Wifi connection

Slow wifi connection

Software on the computer interfering with the download process including AntiVirus Software

Notation: Disabling the AV Software may or may not solve the issue.

Removal of the AV Software may increase the chances of the download to perform as expected.

Running behind a VPN which may increase Packet losses or corruption of the download 

Turn off any Third Party Two Way Firewall and try again 

If via wifi  & too many Other devices using the wifi at the same time reducing the Bandwidth to your computer. 

Best Results are via Ethernet Cable to Router

Restart in Safe Mode. This will perform a Disk Repair, clear cache files and only load Apple Software, extensions and fonts. The boot up will be slow and can take some time - Normal 

Try Again using the Software Update Applet in System Preferences / Setting 

Worst case - Restart in Recovery Mode and choose Reinstall macOS. 

This, in theory will pull the latest version of macOS this computer qualifies to run 

What exactly happens? Your sideways screen indicates that an installation is in progress...