"I think therefore I am" is invalid, and what's wrong with it is the "therefore," the idea that you knew one thing, and you drew a "logical" conclusion from it, in a "prior to language" environment where words have no meaning, where "true" and "false" are indistinguishable, and logic is impossible.
Logic requires words. "Logical" means "verbal," from the Greek logos (λόγος). You can't have a logical argument (you can't draw a conclusion) from the instantaneous standpoint of someone "experiencing" cogito, where words mean whatever you want, or nothing at all.
The experience you're having is not a logical argument. As a sentence, "cogito ergo sum" is invalidated as soon as you write it down in a shared language.
I'm sure it feels right to you! But you can't actually say anything true about it in English, or Latin, or any other shared language.
Thereof, you simply must remain silent.