DLC Question...am I missing something?

Hi explorers,

Been trying to do all of the DLC without looking up any hints and I'm really close, just feeling a little stuck.

I've figured out how to break two of the three seals in the dream world on the vault and I can see the bridges offset to get to the third island and remove the third seal when I leave the sphere of my lamp.

However...I'm not seeing any obvious ways to get onto those platform/bridges. I tried jumping onto the code enterer and jumping off of the top of the elevator as it brings you down but those can't be right. I also tried looking around outside my lamp but there doesn't seem to be any other way onto the island.

Question is: is the answer on how to get onto those bridges and thus remove the final seal in my notes already somewhere? Or is there something I haven't found yet?

Only other thing I feel I haven't really explained is the special ship the deer people sent to block the signal of the eye but I'm guessing that's part of the new end game once you beat the DLC.

Thank you!

https://preview.redd.it/aa3hvdgyzmie1.png?width=808&format=png&auto=webp&s=4dd0781ca7e4264ba9155fc936bdb58945643e9a