Ooh, you’re very close to the end! (Maybe. There could be some big post-game secrets…)
As for the current puzzle, I promise that it’s possible to make it past the spikes with the right timing… but if you want to cheese it a bit - the spikes will only “detect” and hurt you if you’re in motion. So as long as you land on a platform while it’s clear, you can stand there for as long as you need to plan your next jump, and the spikes will just phase through you!