My dot sprite follows the cursor in a very jabby way.

Hard to improve something when we can't compare alternatives - best to share your project.

But you probably want to point towards the mouse and move a fixed distance - eg 4 or 5 steps unless the sprite is within that distance of the mouse in which case just go to the mouse.

I can help you
I already had this problem so i spent about 2 hours makeing a script that works with mouse problems look inside my grabbing project in shared and backpack the sprite that says MY VERSION just change the sprite and it still works

https://scratch.mit.edu/projects/477005479

I added a trail effect, but I want it to follow the cursor more smooth, maybe more of like move towards cursor really fast instead of just teleporting to mouse.