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For part 1, you simply evade all traps. So basically, run into the fire in the first puzzle. In the 2nd puzzle do not run into the black fire. Then when where is another fork, scan the rock in the middle of the fork, and go the direction opposite of where the arrow is pointing, and you should arrive in a cave. Afterwards, find the exit that has a purple flower like the ones you've seen instead of a pink (i think) one. After that you should be done.
For part 2, it's pretty impossible unless you power-leveled or are playing post-game.