Ok well I took apart the system from the footwell. It's now apart and I hope I remember how to put it back together. The tempmatic system has a vacuum chamber/solenoid/whatever that opposes the force of a tension spring.
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That vacuum chamber has a diaphragm in it, and I think that's the source of my vacuum leak:
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Personally I don't need the auto climate control to work, so I may try putting it back together and leaving the vacuum chamber/solenoid disconnected from the bar/rod that actuates the temperature blend door. This was mentioned in one of the videos that
brrian posted above. If I want to stop the hissing sound from the leaking diaphragm, I can probably pull the vacuum line from the vacuum chamber and cap it. The vacuum is quite strong going into the chamber, so I guess that's a good sign for the overall health of my vacuum system?
If that doesn't work and I end up having to seal that diaphragm, I'm not sure how that'll get done. Potentially some silicone caulking and then a small piece of gorilla tape. Not sure, and I doubt a replacement part is available. And if it's somehow available, I doubt the price is something I'd pay lol
edit: Thank you for the images from the service manual as well!