I personally wouldn't discount it quite yet...
a cheapy cheap peter chow type supply often has the 5 volt be the only real regulated supply with the others sort of based off it.
you can test if this is the case by running the 5 volt adjust pot up and down and see if the 12 volt goes up and down too. (disconnected from the board of course.) you can also test this by placing a large load on the 5 volt (I use a couple car tail light bulbs with 2 filiments each and run them both together, it's about a 1.5 amp load)) and see if it brings the 12 volt line up. if it comes up, this is the issue.
Also, quite often the feedback pin for the 5 volt is incorrectly tied to the output of the regulator circuit instead of on the output connector after the inductor filter like it's spec'd to. not a big deal, but allows a lot of delta in the load before the supply compensates
also, these xxx-in-1 boards are not a real high load like the old boards used to be. this low loading can cause regulation inconsistencies since the supply is being run at a tiny tiny fraction of it's output capability. These supplies probably should have a "minimum load" requirement as well.
back to the task at hand....
these XXX-in-1 boards really don't care if the 12 volt is out a bit, it's just used for the audio amplifier. in fact, the board will run without 12 volts at all (without any sound of course). i'd say for the time being, the existing power supply is passable for now.
the coin mechanism on the other hand is fairly picky about having damn close to 12 volts. if you have a 12 volt DC power supply (if even to borrow from something just to test) and hook up to the coin mech to see if it is even working. I mean who knows, maybe whoever built the cabinet just threw in a random coin mech that he had laying around just to fill the hole. I would think ~11 would be close enough but i've experienced weirder.
if the mech is toast, they are super cheap. you can pick them up on ebay for about 20 bucks shipped from the land of many cheap item shenzhen market super happy best quality S+.
https://www.amazon.com/Sintron-Kai-638-Comparable-Acceptor-Selector/dp/B00C188QRS