I installed Zorin on my laptop recently and it runs fine except for the issue stated in the title and it's a massive inconvenience as I prefer using these. It's not a hardware issue as they work in the BIOS and worked on Windows.
So you are actually talking about the laptop's Touchpad, not a mouse.
If you can determine the maker of the Touchpad e.g. synaptics, then maybe something in this thread could help you:
Yes, it is items 2 and 3, and I checked and it's definitely in laptop mode. As for the BIOS, the version I have doesn't have anything relating to touchpad, but this is an old version and I am currently having a separate issue with running the bios updater exe from windows 11 installation media command line (says it's not compatible even though it should be) and unfortunately I haven't been able to find any solution for this.