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We stored the coordinates and other variables of the player in an array on a repeated timer (basically we store an array, in which each element is one frame). When the array contents are played, in order for the teleportation to look smooth, we did some interpolation magic, during the "OnTick" event.

Nope, it's a single player experience. The idea is that the previous runs of the player are recorded and played in the next ones.

Checked your submission and you definitely implemented that idea better :D
You also have a more finished product, to which I congratulate you! Our team had some management and time issues too, so we didn't had time to implement the sounds and do art replacement on most of the levels.

I guess you can, as long as you don't make money of it. The point is to help TeamSeas after all, so you can publish the game and all the donations from the game to go to TeamSeas. Also I don't think they will sue you or disqualify you from the jam if it's copyrighted. MrBeast is not that kind of a guy.