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Is the vacuum source connected to the reservoir under the hood?
Can you post a few pictures of your engine compartment and we can help you identify where to go?
Any of the back of the engine with the air cleaner removed and the firewall area from the center to the passenger (right) side?
Fix your broken vacuum hose and make sure the little hose isn't pinched
It looks like your vacuum canister might be mounted differently than mine, but this is how mine looks.Look at the A/C evaporator housing and the silver accumulator, then look right behind the housing next to the blower fan housing, and you should see the top of a a round black canister. This is the A/C vacuum canister. In your last picture I can only see two wires (no canister), so maybe yours is missing or mounted differently. There is a vacuum line from the intake manifold over to a fitting on the canister, and then a 2nd smaller vacuum line from the canister through a rubber plug in the firewall to the A/C controls. If you remove the glove box cover you can see up under the dash where the vacuum line comes through the firewall and crosses over to the A/C controls. This is GM vacuum hard line, so sometimes it gets old and brittle, and you may find it is broken.Bruce