On: Can water solve a maze? [video]

[krisoft]

I see what you are saying, yes the maze wouldn't have only a single solution after the construction of an inner maze.

[frivfkg → krisoft]

In the literature on mazes, the distinction you are talking about is described to using the terms "simply connected" abd "multiply connected" from topology.

See e.g. https://www.britannica.com/topic/number-game/Mazes