I ended up figuring it out by randomly mashing the keyboard LMAO. Looking at the controls was probably the better way of doing it though. I got thru the cave to the icey part, and I can say that I really appreciate the coyote time on the tunnel drone parts. The cave area is excellent and fun, and I appreciate the ability to explore for extra health pickups.
The icey Getting Over It part is very frustrating, which might very well be the intention. The higher jumps seemed so tight that you couldn't make them if you jump off the edge of the platform, you can only make them by abusing coyote time. That combined with the huge amount of backtracking you need to do each time you fail a jump makes it feel very discouraging. I feel like either tight jumps or losing all your progress on a failed jump can be fine, but the combination of both is kind of unfair. I'll have to come back to it later to try and beat it.