Predator was the weak link in that chain (but still good lol), and the Run DMC triplet I straight up disagree.
ATCQ is definitely there, though keep in mind when I said top tier, I meant as "in the top tier" not the greatest 3 album run ever. (although now you got me thinking on who I would give that distinction to) (also I am heavily biased; however, that means I bias towards Eminem's run, but not against someone else's)
Would've been interesting to see Biggie's 3 album run
edit: man now im going through all my music lol 3 consecutive consistently high quality albums is not easy to do and it seems to bias towards the start of careers as well (makes sense)
not to start the cycle again but kanye would arguably have a good 3 album run were it not for Graduation (shout out to Peterboy)
spoiler (click to show/hide)
miss u breh
PS. the real GOAT 3 album run is The Weeknd (jk thats 100% bias haha)
But if I really wanna jump genres, then Pink Floyd's Dark Side-->Wish You Were Here-->Animals (the true GOAT) (not to mention it continues to The Wall aka 4 album run)
edit2: should probably keep this discussion hip-hop centric but im gonna make a thread for all genres cause it has me thinking now haha