Why would the truck make a ticking sound around the glove box while turning?

Well, the only thing over there is the blower motor, HVAC housing, the engine and transmission control module, and a glove box. Go through your HVAC controls to see if you can make the noise happen (engine off). Look in the glove box, and behind, to make sure nothing is bouncing around. That includes vehicle components and stuff that may have fallen behind. Then, I'm looking at suspension. Check the ball joints, tie rods, and control arm bushings. If your model has a sway bar, check the mounting bushings and links.