I have conquered the tower of doom!
At first I didn't understand the controls, then I was frustrated by them, but near the end I felt like I actually knew what I was doing, which was pretty satisfying.
With some polish this could be a great Jumpking-like game. The blast attack makes me think that maybe some enemies could be added? Games of this type usually don't have them (probably for a good reason), but it could be interesting.
Overall I'm glad I figured out how to play, as it was quite fun.