It's a great level honestly, I just get salty when I think i have it and then the bat decides to chomp me! :D Is he using A* pathfinding? JDev (he made True Colors for the jam), has a game with a bat and a skull that chases you using A*, and your bat movement really reminds me of his skull lol.
Yes, I believe pathfinding is actually using the A* algorithm. But what I really used is the Navigation2D tools that's part of the available Godot engine classes, so for me the algorithm used for pathfinding was abstracted by Godot, which made it super easy to implement. Here's the documentation on that: