These days, roguelite tends to mean "A procedural game where you initiate a run that has a start and an end, but then has meta currencies of some kind that you spend in-between runs that affect future runs."

So in Against the Storm you start a run, and you're in a fresh environment that depends upon where in the overworld map you chose to start. This portion of the game play is a city builder like Banished or Timberborn or whatnot. You follow the game loop to instruct units to gather raw resources. Spend those construct buildings and allocate units to generate other resources within those buildings. Deal with events that come up. Have a goal that signifies completion of the run, and a hurry up clock of some kind that forces you to get to an end, and then either succeed or fail. Based on how you did, you have meta currency awarded that you can use to purchase unlocks that can allow for new gameplay options or make you stronger so as to be able to play on a higher difficulty, which results in higher meta currency awards.