Thank you Rj!
The dried branch was not fully gone after all. I cut quite a bit and it's showing new growth at the lower end now. It's all growing nicely with new soil and seems to have adjusted well.
From the new flowers I can see that the little dried bits I was concerned about were just where the old flowers had fallen. I'm just going to leave it since I don't think it's wasting any energy on that.
Thanks again!