Modification of the FactoryIdle game to simulate Conway's Game of Life, devised by palparepa.
(This proves that FactoryIdle is Turing-complete.)
Original post:
It is possible to implement the Life cell in the vanilla FactoryIdle, but due to its size only one fits inside the available factories. You also need to play the game for a while to get access to some components, and actually not make any mistakes when copying the complicated design.
So here is the vanilla game, but preloaded with a suitably huge factory and the cell design. It can, excruciatingly slowly, simulate a glider.