SIMs - eSIM and Physical SIM

Can I use an esim.me in the physical SIM card slot, controlled by its dedicated app, and the inbuilt eSIM together??

I have not tested this personally, but I don’t see any reason why this would not work. To the phone the esim.me card looks just like a physical SIM card. In my experience with FP3 and FP4 it can be managed through the physical SIM settings the same as any other card. For the eSIM-specific settings like getting a new virtual card onto it or switching slots on the module, you’ll have to use the provided app, though.