Yeah, I am, too, just thinking aloud. It's nothing wrong if you share your thoughts only, instead of an actual code or a project; I guess.
I'm doing some more thinking aloud :~)
After each jump, a new orange vector can be drawn towards the goal; and the new vector's longer component (red on the picture below, either X_dif or Y_dif) can determine a new direction for the next jump...
Using a rise over run kind of thing would be smart.
Yeah, the 'rise' ('run') = differences in Y (X) coordinates of the blue and the violet tiles.
The differences need to be calculated again at each new position of the bot, using the differences between the violet tile's X (and Y), and the bot's X (and Y) value.