I have a shared wall from my garage and living room. My breaker panel is located in my garage and is on the shared wall with my garage and living room. I am wanting to add a dedicated 20amp outlet to my living room and instead of running the wire through the wall like normal I am wanting to run it along my garage wall to the point I want the outlet in my living room. And from there drills hole through the wall from the garage to the living room for the outlet. Is this allowed? The wire is armorlite and will be protected with a conduit for the few inches it intersects with the wall but not sure if code allows for what I am trying to do here. Basically I am trying to avoid cutting into my drywall and having to replace/patch it when I can Just run the wire along my garage and then "poke it" through to my living room
Poking armored cables through walls is fine, but you need to mind your bend radius...
First off, the NEC permits armored and metal-clad cables for both exposed and concealed work, so there's no issue with taking one through a wall. However, you do need to mind the cable's bend radius when you do so; as a result of this, it may be better to use a flush mounted junction box with a KO faceplate and right-angle fitting to transition the cable into the wall.
...and the garage firestopping, too
Because this is the house/garage wall, not some other interior wall in the house, you'll also want to mind your firestopping a bit. If you're passing the cable through the wall directly, a typical firestopping caulk/sealant product should work provided it's used in accordance with its UL firestop system listing. If you're using a box instead, though, you'll need to use firestop putty pads to seal the box up from the outside.
The armored wire is fine, but I wouldn't surface mount an electric box in my living room.
(1) Go to the a stud in the garage that borders the wall cavity where you want the outlet, surface mount a box in the garage on that stud, and run your armored cable to that box.
(2) Cut a hole in your living room for a remodel receptacle box.
(3) Punch through the back of the garage box into your wall cavity and feed in romex wire, grabbing it through the remodel box's hole.
Now you can wire the whole thing up without any drywall repair.