Category in Page Menu

I’d like to have a Category page included in the Pages menu.

I’ve seen a lot of posts advising to just use the Category link — to be clear, that is not a solution to what I’m asking. I want one menu with both Pages and selected Categories.

Ideally, the solution would be to embed a particular Category’s posts in a particular Page (as much as that idea makes some folks’ toes curl.) How is that done?

If there’s a more elegant solution, I’m all ears! Thanks very much!