I would replace any questionable bushings in the rear end before going near an alignment shop.

As noted, these cars do appear to be dog tracking when they are not. If you haven't, look from both sides before concluding that the car is dog tracking.

My observation is that this car favors the right rear wheel for powering forward. That means that if the bushings are shot, it will tend to tweek the rear axle forward on the right, causing the rear of the car to kick out to the left. Interestingly that is the opposite direction from what you observed, but I would definitely not rule out rear bushings.

If it is dog tracking due to structural damage, it is not worth fixing. I would watch for a car the same color in the junk yards and try to get a door and fender if I could, but keep driving it. Else, junk it and get another. You could not begin to repair structural damage for what the car is worth.

More tips

Always carefully remove your hubcaps before taking the car for tires or alignment. Those hubcaps are getting old and brittle, and the shop will trash them.

Don't pay for a "4 wheel alignment". There is nothing adjustable in the rear of this car. Just because they have to clamp their brackets on the rear wheels so they know where the car is, does not mean that they are doing a four wheel alignment.