I hate that that happens

I still feel like the nouns are in the wrong place when I read this.

I'm reading it as "New York cows new York cows bully bully New York cows"

When I want it to read "New York cows bully new York cows" which would be "Buffalo buffalo buffalo Buffalo buffalo" which isn't enough buffalo.

I have to inset my own "that" to be able to get my head around "Buffalo buffalo (that) Buffalo buffalo buffalo buffalo Buffalo buffalo"