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Yup this is in the FAQ! Since you didn't make your own engine (/generic code) specifically for this jam, you are welcome to use it.

Is there any restriction on game engines?
Nope! You are free to use whichever game engine you like - including your own custom-built engines - as long as you create the code and assets specific to this game from scratch.

Thank you. I must have overlooked the "as long as you create the code and assets specific to this game from scratch." part.