You’ll need this if you’re going for all the beads.
I would clear out all the angry trees and bloom them, do a couple dry runs of the forest as there’s some rare treasure and stray beads off the beaten path (wrong way dead ends in particular). Once you’ve got a good idea of how best to run through, Kai takes the long way so don’t follow her path unless it works best for you, on some of the icy patches (the second one in particular) it can help to run along the side near the walls where there’s snow so you don’t lose speed/traction.
Gamers Unleashed X has a decent video showing a good run, not my video, all credit goes to them: