Does moment affect the combined vector calculation?

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What do you mean by "combined vector"? Do you want to calculate the sum of all forces (I assume they are forces) at that point?
 
I mean "net force" or "resultant force"
 
In that case, the quantity would just as you wrote be given by the linear forces. Torque is given by length times force, and length would be equal to zero for the point you've shown on your picture.
 
So yes, the resultant force remains exactly what you wrote, and the moment does not play a role in it.

Whenever you will calculate a moment relative to any point, you would simply add the moment to it.