So I like the game. The art style reminds me of the old Gameboy games. However you've submitted the game to a bunch of jams, and this game doesn't really fit the theme of new beginnings.
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I wouldn't say it's against the rules. Your game as much as I liked the old Gameboy vibes and mechanics, your game didn't match the theme at all. If there was a story behind the mountain climbing, maybe going to a safe valley to start over after his home got destroyed or something then it would've been fine