You are the first person I know of who's attempting to do something I've taught my private students in the past. And you don't use a "prepared mouse" to do that.
It can be really handy to use the mouse to get a "quick and dirty" overview of a page, sometimes far more rapidly than you can sticking strictly with screen reader commands.
After having done a "push it to the far left, and then up" to force the mouse to the top left of the screen, then doing a slow (not glacially slow) left to right, top to bottom "waving" of the mouse over the page can get you a lot of information very quickly. There's a trick to it, but practice makes perfect. And when you don't want to be actually using the mouse pointer, it's simple to cover that laser port with a piece of tape so you still have your real left and right click buttons available.
Brian - Windows 10 Pro, 64-Bit, Version 20H2, Build 19042
Any idiot can face a crisis. It's the day-to-day living that wears you out.
~ Anton Chekhov