Gday Harleyquinn,
I have never been able to climb the walls in the stick room from the ground, but you can climb further then you think possible by facing upwards & holding both the run & jump buttons at the same time & keeping them held. Sometimes you have to use the directional buttons as well because you can slide sideways a bit.
You should be able to find enough sticks in the Boogre cave, I usually find 4.
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