Looks like I just replied to you elsewhere with those… Transition Between Industrial and Space Stage (or even a new stage?) - #24 by hhyyrylainen
Anyway to put the answer here again, all of our official stage wiki pages list the transitions to and from for each stage, and these are specified exactly to remove all confusion regarding what is a different stage.
For example here’s the awakening stage transitions:
Maybe not the best example as that ends with the move to strategy mode so it’s more obvious change than many of the others.