What you appear to have is a momentary double pole, double throw switch. You only need a single pole switch, but you can make it work fine.
Run the remote bottle valve ground wire to a chassis ground. Run the +12V power supply line from the battery to the center connector (#2) on your switch. Run the red/open lead from the bottle opener to #1 and the black/close lead from the bottle opener to the opposite side #3. You will not use #'s 4, 5, 6.
Make sure you install the bottle valve so that the correct/inlet port is connected to the bottle. It won't work if you get the ports switched. Ask me how I know..... actually, I had to figure it out after a "shop" installed it wrong....
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Fred
94 Formula A3: 381/TH400/N2O
Detailed Mod's List
11.513@115.59 on motor; 11.162@127.67, 1.643 60' on a 125-shot. Going with a 275-shot this year