The rescue attempt serves as a showcase for the show's signature "fast-thinking" problem solving, even if the science pushes the boundaries of reality:

: Critics and viewers have noted that this "physics" solution is a significant technical "goof" —in reality, injecting exhaust would likely decrease water density, causing the dog to sink faster rather than rise.

: The team initially attempts to pump water into the well, hoping to use buoyancy to float the dog to the surface.

Who Let the Dog Out ('Cause Now It's Stuck in a Cistern) - IMDb