The climb action has nothing to do.
The rule book literally says: “Renee Montoya currently has 1 move point in her move point pool. She has to spent 2 cubes on her movement space to buy the additional 2 move points required.”
This clearly contradicts the previous rule set in page 21:
“If the move cost is higher than the move point pool, the hero must spend energy cubes to the movement spa e to buy the missing points. Each spent cube gives the miniature as many move points as their movement characteristic.”
Renee’s movement characteristic is 2, so according with this rule she should spent only 1 cube to get 2 movement point.
In Monolith’s Conan game each movement point buyed costs 1 cube, no matters with is the characters movement characteristic. So It seems to be in the example with Renee too.