My dealership allows me to bring my own oil for engine and trans, you just have to remind them to give you back what wasn't put into the car. They will write "used customers oil supplied on passenger floorboard no dealership oil" a few times in the service records. All the oils I provided besides Amsoil trans did say Dexos 1 on the containers. I'll let you know how it goes when I provide Amsoil engine oil next change.
The price paid is labor and filter if you didn't supply one. This used to be $19 until they started charging me $10 for the filter alone. I'll go rockauto and grab a few before I go back. If you do a oil change and tire rotation, the price of both services are usually cheaper than trying to pay for the oil change labor and tire rotation service individually. This is if you don't just rotate them yourself before you go and just have them relearn the positions of the sensors.