Hi Melanie,
Error 0x00000709 in Windows 11 usually comes from a corrupted default printer entry in the registry. Open regedit and go to HKEY_CURRENT_USER\Software\Microsoft\Windows NT\CurrentVersion\Windows, then clear or correct the Device value to match the shared printer name. Restart the Print Spooler service and reconnect to the printer. Make sure File and Printer Sharing is enabled on the host and that the correct driver is installed locally. If the issue continues, apply the latest cumulative updates, as Microsoft has released patches addressing printer connection failures in recent builds.
Harry.