I pulled the dash down on my '88 K1500. The '88 service manual has the WRONG procedure; which I didn't figure out until I looked in the Service Manual Supplement.
REPLACE ALL THE FOAM GASKETS. The foam turns to jelly as it deteriorates, and I can pretty-much guarantee that it's deteriorated.
My dash came down specifically to replace the foam gaskets. I used ordinary hardware-store weatherstripping foam with the adhesive back.
EXPECT the heater core and A/C evaporator to be a filthy mess. You'll spend most of your time picking pine-needles, leaves, cottonwood fluff, pigeons, and mice out of the cores. If the cores are bad enough, you may have to replace them. (Heater core tends to be worse, it's the first one in the airflow path.)
Pay attention to Hantavirus. Nasty stuff.
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Consider replacing all the HVAC actuators (little grand-piano-shaped deals that move the air doors) while you're in there. The ones you have are probably past their service life--I'm told the internal gears get brittle with age.
I have used a commercially-available cleaning solution (Odoban) for jobs like this.
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No doubt you can find a one-gallon source somewhere.