Hello geovat, and welcome to the forum !
I'll pinch hit as a fellow Quad owner to help out until kap, this forum's resident Quad tech expert signs on, who also has a Santa Fe stove. Fortunately lots of the parts stuff on Quads is similar. First UNPLUG the stove, then you can disconnect the wires that go to the auger motor. Taking a picture before you start disconnecting and removing stuff is always a good idea to make it easier to get stuff back the way it belongs, and it helps when others on here are helping trouble shoot problems as well. You'll need to empty all the pellets out of the hopper before you take the auger out.
The auger assembly will have 2 screws that hold the motor and bracket into the stove. It's not the 4 smaller screws that hold the auger motor to the bracket - leave those in place. Use a magnetic screw driver if you have one so you're less likely to drop the 2 small screws into the bowels of the stove after you loosen them. Then you can pull the whole auger assembly out of the auger tube - there will be some pellet dust and fines that dump out - which may be the cause of your squealing problem. Look at page 28 of your stove manual to get a good picture of how the auger assembly parts go together. Clean all the dust off then check to see if the auger feed screw is loose where it connects to the motor shaft, which could also be the cause of your squeal. If it's loose, tighten up the set screw that holds the feed screw to the motor shaft. There is also a collar ring next to a nylon bushing in between the auger motor and the bracket that is held in with a small allen set screw, make sure that is tight also. If it looks like there is oil or grease that has seeped out of the motor when you pull the auger assembly out, that is likely indicative of a motor problem.
If the top of the auger screw wasn't packed with sawdust, and neither the feed screw or the collar set screw are loose, it is likely to be your motor bearings causing the squeal. To check for that you will need to run the auger out of the stove while it is connected to the stove wiring, or connect it up to an external 110v power source. STANDARD DISCLAIMER - this takes some electrical awareness and safety for both you and your stoves expen$ive control box. Bypassing a stove component with a jumper wire is a good electrical trouble shooting skill to know, so I'll describe that one. Find the two wires that go to your vacuum switch - the round or rectangular box mounted to the back of the stove, and disconnect the 2 wires from the switch - again make sure your stove is UNPLUGGED first. Then you connect the two wires together to bypass the vacuum switch, which will allow your auger to run outside of the auger tube. The safest way to do this is with a pre-made jumper wire out of a short section of electrical wire and spade connectors, (see pic below) or in a pinch you can bend a paper clip into a U-shape and stick one end into each wires electrical connector. If you go with the paper clip jumper, wrap any exposed metal on the paper clip to the spade connectors well with electrical tape, as it can short out if the paper clip jumper comes apart or bare paperclip metal touches metal on the stove, likely frying your $350 - 400 control box when you plug the stove back in.
With the vacuum switch wires jumpered together you can reconnect the auger wires to the stove's wiring harness, then plug the stove back in, hit the reset button and the auger should turn for 60 secs. Then you'll need to hit the reset button again and it will run for another 60 secs. Do that a few times to see if it reproduces the squeal. If so, your auger motor bearings are likely on the way out. The bearings are sealed, so there is no regular maintenance you can do to for them. But you can try lubricating the motor with 3-in-1 electrical motor oil or dry-lube spray. Here's a forum link that shows some pics and describes where to lubricate the motor.
https://www.hearth.com/talk/threads/quadrafire-santa-fe-auger-servicing-any-tips.88577/
This may quiet your squeal but is often just a temporary fix, if it is the bearings going bad, though it often may buy enough time to use your stove while you wait for a replacement auger motor. UNPLUG the stove again before you remove the jumper wire and reconnect the vacuum switch wires and reinstall the auger assembly - don't forget the gasket that goes between the bracket and where it attaches to the auger tube.
Post back on your findings, and good luck. Regards, DK