That must be a problem with the save system that keeps track of your unlocks.
I made a version without. It's exactly the same except that It wont save anything on your pc.
https://easyupload.io/s7vzy4
I don't know what the problem is then.
I have an html test version you could try.
It wasn't build for a browser but it works oke
https://jwveenman.itch.io/html5-test