Very funky visual effects! Unfortunately, I also couldn't get the mouse to lock in the web version. I had no idea what to do in level 2. Looks like a cool little puzzle game, but probably needs a little more polish.
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Yeah, because of that issue in web version it's the best to play windows version
Have you played with your audio ON? Level 2 must be solved in max 2 moves . Usually you can fail it if you try scaling up the side platform first and then the bottom one . Since obviously that can't work (as the bottom one will get stuck in the stone nook in your spawn zone) , then you should be getting the "buzz" sound played when you try scaling the bottom one up - indicating that you can't do that as the existing platform is blocking it from going up (since it's tucked in the nook).
Solution: scale up the bottom-up one , then scale up the side one, then cross the bridge (ladders are 2m away from you).