Before Amy, Dina, and Cheyenne begin chopping down the tree, Cheyenne is holding the ax and the ax head changes from pointing down to pointing up between shots.
A chopped tree will fall in the direction of the notch (cut). The tree that Amy, Dina, and Cheyenne cut down falls away from the notch.
Amy offers to go out and buy a new Christmas tree for the store display. Cloud 9 has been shown to sell artificial Christmas trees.
The stakes for the sales bet that Mateo makes with Glenn are that Mateo will take over bathroom trash duty for 3 months, to which Glenn enthusiastically agrees. It has been repeatedly established that Glenn actually enjoys cleaning up messes.