***** NOT A TEACHER *****
I am not sure what you mean by "categorize."
The best that I can do is to pass along some information from one expert:
He gives these examples:
1. I think Barnwell a sick man. (object is "Barnwell" and complement is "a sick man.")
2. I think [that] Barnwell is a sick man. ("Barnwell is a sick man" is a subordinate clause.)
"[T]he first sentence differs chiefly in the omission of the linking verb is."
*****
This expert explains:
I consider him a liar. (The substantive [noun] as objective complement occurs commonly after such verbs as think, call, find, make, consider, choose, believe.)
I consider him to be a iiar. (Often the infinitive to be is inserted between the object and its complement)
I consider that he is a liar. (clause)
*****
This expert says that some grammarians prefer to use the term "infinitive clause" for this sentence: I consider him to be a liar.
"The object of consider is the clause him to be a liar, in which him is the subject of the infinitive and liar complement of the infinitive."
**********
All credit goes to Professor Paul Roberts in his Understanding Grammar (New York, Evanston, and London: Harper & Row Publishers, 1954), pp. 268 -270.
P.S. Please keep asking until you get the answer that satisfies you. Many people read these questions, and there may be someone who can give you exactly what you are looking for. Good luck!