I would suggest trying the Zadig driver swap method here: Galvo Installation - LightBurn Documentation
If there’s a driver installation issue from the installer, the Zadig method is a way to forcibly install the correct driver outside of re-running the LightBurn installer.
There have been reports of success in this specific use case, see here: Setup - BJJCZ Device - Laser Mark Control Board V4 - #2 by sutick