"Missing Base Game" even though I own it...

Yes. Topic answered right after your post.

That's it. Thank you. I wasn't affected the week that was posted, so I didn't fully pay attention to it. The last week or so, it was bad.

I will make an edit for now, because reasons...

I didn't read the full post, but in case anyone else was misled by the title like me: you don't need to play the free games for them to be reported; installing them is enough