Looks like your Maya scene is in 24 fps and the FBX was baked down at 24fps. Please switch it over to 30fps and rebake the animation. I’d suggest you ensure that your scenes use the Working Time Unit of 30fps. Especially while you’re animating to begin with.
I brought your fbx back into maya and changed the time to 30fps and then re-exported the scene, baking it at 30fps. What was previously frames 42-60 are now 52-75. It properly imported the “Close” animation in it’s entirety.
-.
EDIT: You can make 30fps your default for new scenes from the New Scene options menu