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The short answer on this is - $900-$1,250.00 - Inclusive (Range in price is due to the amount of prep work and current condition)
You will want your vendor to do the following:
**** You will also want a life time warranty on quality and repairs (Excluding Wear and Tear)
Consider, a new dog
If you use a black light you can target the urine areas soak in white vinegar leave for ten min wet vacuum as much up as you can mix up a cup of water with a quarter size dawn dish detergant put in spray bottle saturate area but don't soak. Sprinkle baking soda around on the wet area spread likghtly. let sit until everything dries hard this could take up to a day. break up the crusted area with finger tips when dry then vacuum up. it is a bit time consuming but it is all natural and it works like nothing else!
I FIND THAT USING A MR. CLEAN ERASER PAD WORKS GOOD!
It looks like the dog did a pretty good job on the door. Since the door is painted, you could sand the area down with some 150 grit sand paper. After it is sanded then you can apply some High performance wood filler or car bondo.
Apply a thin layer over the damaged area and allow it dry ( a few minutes or more depending on the amount of hardener you use). After it is dry, sand untill smooth and then apply a second layer if you need to and then sand smooth. After the area is the way you want it, prime it and paint it.