Error code 13041 on Mac usually indicates a problem with the software on your system, and low disk space can also cause issues with your applications. Here are some steps you can take to try and resolve the issue:
1. Free up disk space: As you have mentioned, you have only 3.45 GB of free space available on your computer. Try freeing up some space by deleting any unnecessary files or applications. You can also use a disk cleanup utility to remove temporary files, caches, and system files that are no longer needed.
2. Check your internet connection: Make sure you have a stable and reliable internet connection. Check your router, modem, and cables to ensure everything is connected correctly.
3. Restart your computer: Sometimes, restarting your computer can help to fix any issues with the software.
4. Check for updates: Ensure that you have the latest updates for your operating system, iTunes, and other applications installed.
5. Reset your network settings: Try resetting your network settings to see if that resolves the issue. You can do this by going to System Preferences > Network > Advanced > TCP/IP > Renew DHCP Lease.
6. Reinstall iTunes: If none of the above steps work, try uninstalling and reinstalling iTunes.
If the problem persists, you may need to seek additional technical assistance from an IT professional.