I had trouble with the UI. Parts were cut off and because I sit in front of an Ultrawide making it fullscreen isn't an option. So I looked up the iframe-url from the inspector. That has helped. I would recommend you to fix that by increasing the height of the player (you can do this on the itch-page itself).
The art style is really nice and I like the animated logo. But I missed some music and sound effects. The idea of binding the traps to the objectives is really good. Took me a while to survive a full round and I picked them up in a special order so that I have the most painful ones at the end.
But I think the limitation isn't influencing the game enough. I was so busy with surviving the traps that I noticed the counter very late. In other words: I wouldn't have played the game in any different way if the counter wouldn't be there. So the pressure isn't high enough. I think after picking up an objective it always resets back to 60s. May it should have added only a small amount of seconds (like 10s or so). And besides having 3LP you could have subtracted some amount of time from the player.