Instead of measuring just part of this, and adding up some hardcoded constants to the measured part, we can simply measure the whole thing.

In combination with the parent diff, this allows us to remove the hardcoded constants entirely, and rely purely on the measurement.

Depends on D13867

In combination with the rest of the stack, I tested each individual use of our BottomSheet component to make sure that the bottom padding was reasonable. In most cases it was unchanged; in other cases, it was changed to be more consistent with the other BottomSheets in our codebase. In all cases, there was enough padding for the "home pill" at the bottom of the screen