Follow some of the above advise and pick who you want to make a repeat trip for a $ trip charge.
Do ceramic floor with no doors? Then trim carpenter comes back to set the door after the now tiled floor. Oh but wait, the tile contractor is also coming back now after the door is set since it wasn’t ready when he did the floor. So you have 2 charges!
Or you set the door, make smart decisions on jamb trim saw, then tile proceeds. No comeback, no trip charge. This is how it proceeds in production, and high end production for that matter.
Return trips everyone looses.
No you don’t die bullnose into door casing. You use a full tile and **** to casing and Schluter above as needed. Bullnose is yesterday’s technology today.
Good luck OP.