Hey really great puzzle game, but quite hard. I didn't realise at first that items carry over between levels. I played it for a long while but kept getting stuck on level 4 because I only had two hearts left at that point. Once I realised I needed three hearts I beat it. Fun game, reminds me of Fidel Dungeon Rescue. Well done.
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Initially I wanted it to be a roguelike with randomly generated levels but I had to cut most of it because I was running out of time and the game ended up being more of a puzzle game (thats why the items carry over). All levels can be beaten with 2 hp but some solutions can be hard to find. I think the gameplay video shows the level you were talking about.