If you have used Litchi since 2019, then you should be familiar with the Litchi Help website. It clearly states on the website:
If you have one of DJI’s latest drone models (Mini 3, Mavic 3 Enterprise, etc), you will need to use Litchi Pilot instead
Since Litchi Pilot is still in Beta and not released for public purchase, you couldnt have purchased the Beta version that is being developed for your new drone.