The fascia board was so far gone at this end that I just decided to remove the end of it up to the first ceiling joist and replace it with another piece of wood.
Before attaching the replacement piece of fascia board, I added some reinforcement wood. Hopefully, this will give the new piece more to attach to.
The replacement section of fascia board in place. Also, a new small piece of wall sheathing added at the top where it was rotted out.