There are boutique production firms that have engineers and such around. It is going to be a very expensive mouse, comparatively speaking. In creating that mouse, they will be making good chunks of the elements of a production process for the mice. It might be just as expensive to get 100 of them as to get 1. Boxing would be a different story.
I'm sure you could ask Ideo. There are 100 alternative versions of Idea that cost less and give the same product.
Personally, I would sponsor a competition among engineering clubs, and put the fee as a prize. It could be a great experience for the kids, as long as you make it worth their effort in terms of recognition, publicity, and the competition experience.
Discovery channel should make a program where they have teams of engineering students re-create things from patents. Like west-coast choppers or something, only the students have to figure out how to make things that are reasonable using the patent. Maybe they find nearest versions on ebay, or if they have a great second-hand electronics store (Mendelsons in Dayton was 3 stories of amazing until Covid put it out of business. They had a fabulous tube room.)