Alright, unfortunately the flash I'd ordered went missing in the mail, but I should be able to find another camera to try my own flash on. Thanks.
Seems to me you are using too much time and mental energy on this.
The 360PX is valuable and should be cared for.
But your time is valuable too.
Take a paperclip or wire and short the side and mid contacts of the foot and establish firmly if the connection is there or not.
Find someone, anyone, with a newish working flash with a single center contact, any size will do, and test the shoe of the camera.
Flashes can’t be that rare in California.
They are literally being given away because people don’t know how to use them.
Alternatively, if you have a modern multimeter, measure the shoe for continuity.
If both is working (as I suspect). Then it means that your contact on either/or foot or shoe needs further cleaning.
Don’t scrub or scratch!
Use toothpicks or soft pencils at worst to scrape the surface. And then of course finish off with contact cleaner.