Yes, COGITATE is a Scrabble word!

Letter values in Scrabble US: C 3, O 1, G 2, I 1, T 1, A 1, T 1, E 1.

Is it a valid word?

COGITATE is a valid word in the official Scrabble dictionary (US), the UK Scrabble Dictionary and Words with Friends (ENABLE).

consider carefully and deeply; reflect upon; turn over in one's mind
use or exercise the mind or one's power of reason in order to make inferences, decisions, or arrive at a solution or judgments