Climbing the trees

The jungle has huts high up in the trees. How do you get up there, and in?
Nudge 1Where to look
The branches and plank platforms can be jumped onto from below: you don't need to find a gap.
Nudge 2A stronger push
Go up from MGAMBA VILLAGE through MORE TREE HUTS and MGAMBA TREE HUTS: the screens above lead to CHEZ TARZAN and ISNT THIS HIGH?.
Nudge 3Almost there
Huts are entered like Seymour's car: stand at the door and press action.
What you needOther problems to solve first
Solve these first (each opens its own page, no answers on the way):
Show the solutionThe whole answer, with a video
From THE UMBABWE BANK climb into MGAMBA TREE HUTS and on up, branch by branch, to ISNT THIS HIGH?. At the hut's door press action to go in. In this first hut lies the spanner that mends the lift (The lift doesn't work); there's also a red parrot, and a barrel. Press action at the door inside to come back out. The other huts are entered the same way: one in MGAMBA VILLAGE (a leather jacket), one in MGAMBA TREE HUTS (a bouncy ball), one in MORE TREE HUTS (The tree hut with spikes on the floor), one off THE UMBABWE BANK, and the pirate's (The pirate won't let me in).
Why it works
Platforms you can stand on are "step" tiles: solid from above, open from below, so Seymour jumps up through them and lands on top.