What is currently the cheapest Compact or Point & Shoot, that I can buy first-hand, that shoots RAW files?
Use a 'Filter Site', one example of many is "Camera Decision":
Using the Filters: $0-500, RAW Shooting, Small Sensor Compact, and Large Sensor Compact; then clicking on the "Price" column produces:
Sigma DP1s for $248 as the cheapest, and Nikon P330 for $52 more as a better camera by far.
The Canon G9 XII is going to run another $28 more, skyrocketing you to $429.
Another way to view those results is that you must come up with $250 to get something so it's in your interests to put in a couple of hundred more to get a somewhat capable camera over investing the minimum to receive the minimum.
As mentioned that is not the only website like that, Google for "camera find comparison" to locate more similar websites.