I’ll add to the answers, my source is the Pepsi service guy that came to our fast food restaurant to service our fountains when I worked there.
If we ignore ice, and if both the water, syrup, and CO2 gas mix is exactly the same at the fountain as well as where the can or bottle was filled, the soda you drink from the fountain has only been carbonated for a few minutes and is loosing carbonation as you drink it. The can or bottle has been under pressure for at least 24 hours, but more likely longer.
TLDR; The carbonation level of a fountain soda starts at the mix level and drops. The carbonation level of can/bottle starts at the mix level and goes up, till you open it and then starts to drop.
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