Just trying have some fun with Japanese grammar, but the sentence in the title has me stumped. I just don't understand Japanese particles enough to even know where to begin. Here is my best attempt at something resembling this sentence, but its gotta be wrong, so please help understand how to construct this sentence in the best way.
I think that she thinks that I think she is dumb
私は彼女が私は彼女がバカとおもうとおもっているとおもう。(LOL, there is just no way...)