Where is the blend door actuator located?

Strange it actually posted it sideways on me as well.

Do you get full warm on both sides if the heat is switched to full on? Any odd smells in the vehicle? Like there might be rodents living inside?

Okay, well that's good, give me a sec here, I'll pulling up the air door and air flow diagrams.

I'm trying to determine that right now, service info is listing an Upper and Lower air mix doors, it's just difficult trying to figure out what combination of things here could cause cold on one side, if you switch all the air flow to the floor, do you get cold out of both floor vents then?

This is the duct work, doors and air flow for the manual system.

I'm wondering if one of these doors is stuck halfway.

Sorry, I forgot to add (7) in which is the Heater core.

And are you getting really hot air, like it may be passing through the heater core, or does it feel more like just outside temperature air? And does the blower motor flow air on full mode, it's not weak air flow? One or more of these doors is stuck, the low clicking sound your hearing seems like there might be low voltage to the system, possibly effecting multiple doors, this system runs on an AC amplifier they call it, and the air mix door is controlled by a stepper motor, which you can see in the diagram below, they are not just dc motors which switch direction by applying power to one side and ground to the other and then changing that around to switch directions of the door. Stepper motors tend to be weak, since they have 4 different windings and each winding is controlled by its own transistor. They do this tap along type of movement until they reach the position they're supposed to be in, but most manufacturers use just direct DC motors which are much stronger and can handle more current. I have seen these AC amplifiers go bad as well, I will bet that if the HVAC control module was scanned for trouble codes there would most likely be a code set for some section of this system.

I will look into this more, according to this vehicle and year and get back with you shortly, I want to see if a failing AC amp is common on this year. If you can disconnect the arms that move the doors without too much trouble, you may be able to see exactly which one of those arms is the air mix door and at least get the cold air to circulate correctly, even if it's temporary for now. This listing of an Upper and Lower air mix door isn't showing in the wiring diagrams so far, but this does explain why the air mix door has 5 wires, 1 is power and the other 4 are stepper motor winding controls, I use stepper motors quite a bit and they require a special control module that works each of the 4 windings. But let me dig a little more on this. See if you can unhook one of the rod (bars) on the passenger side there, the air mix door is supposed to be the one next to that 2-wire temperature sensor.

Yeah, a door is stuck halfway or partially closed somewhere, and the cold air isn't making it over to the driver's side. See if keeping it on Recirculation helps any for now. At night it's cooler out and easier on the A/C system itself.

There are no other ways to move any of the doors since this whole system is electronic as pretty much everything is these days. Im not sure if this diagram will help anymore than the others, but the air mix door actuator is on the right side if facing the center dash.
Does moving the air mix door rod with everything running effect whether you get cold air on the drivers side?
I want you to check the Cabin air filter (diagram 2, 3). It will be on the passenger side, theres a small cover you need to remove (#3 in diagram 2), then you should be able to remove the filter.
Also there is a drain hose for condensation build up thats for the HVAC box, it drains under the vehicle, you may notice a puddle of water under the vehicle after the AC has been running for awhile, the water is condensation from the AC system and needs to be able to drain properly. The drain hose is usually under the the vehicle near the center, around where the HVAC box is, most are pretty visible from underneath (diagram 4), sometimes they get dirt in them being exposed to the road, but if you dont see any water dripping under the vehicle after the AC has been running, try finding the hose and clear it out with a piece of wire or something you can get up into the hose to let any water out that might be puddling up inside.
If the cabin filter is ok and the drain hose is not clogged up, I would take it somewhere (a shop) that can do a full system scan on all the modules in the vehicle, have them write down every code stored and in what module it was stored, and we can take it from there. If we can get a code out of the HVAC module, it will give us some direction to diagnosing this issue. If youre able to move the doors manually, then something else is going on. Possibly one of the stepper motors is failing and just doesnt have the power to move the door it needs to. Once you have the cabin air filter out too, take a look inside with a flash light and see if you notice anything. Let us know what you find, and we can go forward from there.