Vertical pathfinding without defying gravity

Hey there everyone. So basically I'm trying to find a way to have a sprite pathfind along a vertical path (also using horizontal movement to get higher) but I don't want the sprite to be flying. Is there any way to make the pathfinding so it always tries to be at the highest point but can only go vertically, from solid to solid, a certain distance? Thanks!

Same problem here on my platform game.My spiders are flying and rotating

did not understand pathfinding, looking for 2 hours. Now i ll break.Why my spider enemy sprite flying and rotating on moving path to player help please

You could try my quad based pathfinding...