Really neat! I checked out this game because of the description of a "turn based racing game". I love racing games so I was curious how a turn based version would work, and this was an interesting take! It took a bit of fiddling around with the grid but understood how things worked pretty quickly! If you continue working on this, I'd be interested to see what layers of complexity you add to this.
I also read the devlog, and wanted to ask what a wedge product is? I tried researching on my own but the explanations went over my head. From the formula you wrote AB ^ AP / |AB| , I understood " The vector AB wedge product with the vector AP , divided by the length of the vector AB", is that correct?