Hello!
I'm not sure about using the verb {Dam}. From the few examples we have,
I am not sure which is the object of the verb. Is it the thing I assume
your are? Or does it focus on you?
How would I say "I think you are a warrior"?
I don't think that's the question you intend to ask. "I think you are a warrior" is rather different from "I treat you as a warrior". The former has nothing to do with {Dam}, whereas the latter does. Also, did you mean {SuvwI'} rather than {'urwI'}? It's dangerous to say the latter when you mean the former.
{SoHvaD 'urwI' vIDam} or {SoHvaD 'urwI' qaDam} ?
{SoHvaD SuvwI' vIDam} is correct. We have the canon example of {HumanvaD 'urwI' wIDam}.
{SuvwI' qaDam} should also work, using the prefix trick applied to the above.
Another possibility is {SuvwI' SoH 'e' vIDam}, based on the canon example {'urwI' ghaH 'e' vIDam}.
Wjhat is the object of the verb {Dam}?
{SoHvaD SuvwI' vIDam} "I consider (treat somebody like) a warrior; you the the beneficiary of my doing so" > "I treat you as a warrior"
{SuvwI' SoH 'e' vIDam} "I view the statement to be applicable or true, that you are a warrior" > "I consider you to be a warrior"