This is so creative and clever, it already works well as a puzzle game but adding a deckbuilding element? Ooh yeah, I like that a lot. You can amass a pretty fun strategy of hitting lots of burn tiles but countering them by adding lots of "add to your lampa" tiles so instead of avoiding obstacles you kinda muscle through them. I love a puzzle game that has open ended options for progressing, and I think that's real neat.
One thing I would like is to be able to place tiles such that they connect to a path that isn't just the tile I'm standing on. Like, if I can place a tile that connects to the path logically, and just doesn't happen to connect to my current tile, like a corner piece rotated to connect to a different patch of road, I think that should be valid. It'd open up different options for pathing and maybe give the player some more niche choices.