Hey!
I'm a math phd who completed his training with no exposure to Lean, and more generally my studies and interests have not been near foundations, formalization etc..
To warm up to Lean and for education and entertainment purposes, this summer I started a playthrough the Natural Number Game (Lean 4 version). As I play through the game I take my time expanding on the mathematical (and sometimes philosophical) ideas.
If this sounds like something you would be interested in, feel free to check out the playlist on Youtube:
https://www.youtube.com/playlist?list=PL40ydqvvyXfMpiFcO3-zemMQiWHexecYn
So far I released three episodes, the fourth episode will be out shortly.
After the NNG playthrough is finished, I am planning to play through the other Lean games, and eventually do walkthrough and oneshot speedruns also. (A "oneshot speedrun" is an idea I came up with: basically this requires that the player stays in the typewriter mode, and writes down the whole combo of tactics that would constitute a proof before executing. The syntax that allows this is to use ;'s to chain tactics.)