As long as your confident the AC unit is able to provide adequate air flow to move the conditioned air you certainly may "branch off" to your addition. Bear in mind that the more turns (particularly 90 degree ones) will have impact on the volume of air flow allowed to be "pushed" by the fan.
Dennis (cut2it)
C&onstructi&on C&onsultant
Over 40 yrs. as General Contractor for new const. & remodel - retired with time for you.