No, it is all in third person. Except attah.
Well, actually it can be either. Regardless, both the opening and closing of the blessing are in the first person, as is the entire remainder of shemona esrei. The only part that is clearly in the third person is lemaan shemo.
First person? I don’t recall the word “ani” in their anywhere. Please point it out. (Or do you not know that first person is I, second person is you, third person is he?)