No. Cogitate is both transitive and intransitive, that is we may cogitate something and cogitate about something. But we do not cogitate that... in the sense of forming an opinion about it.
I don't know the make and model of the camera, but I saw at the trade fair.I'm going to make a gingerbread cake for the bake sale.You know, if you don't pick up your room, your mother will make you...
The sentence does not quite make sense, because it's not idiomatic. That is, even though we may understand what you mean, it's not the way a native speaker of English would say it. First of all, we...