Mukago's journey

Btw I am making up lore for Mukago bc we dont know much about her.

So what if Mukago, Lower Moon 4, went to Mt. Natagumo to meet up with Rui? How long does it take her to get there? What happens with the two kizuki? Do they get along instantly? Or does it take time? Well idk but u will soon!
Also quick note, idk why Mukago's bda is so lets just say its snow and ice related