All of the current data shows that the vaccines being used in the US provide strong protection against severe illness.
So what does forcing people to get a third vaccine really accomplish? In my opinion two things, further erosion of our freedoms, and huge profits for big pharma.
As I said elsewhere in this thread, the slogan of standford is literally "The wind of freedom blows". This policy does absolutely nothing to further anyone's freedom.
“Breakthrough infections are not evidence that vaccines don’t work anymore than the fact that car crashes [that] are still sometimes fatal is evidence that seatbelts don’t work. We use prevention tools because they help reduce our risk of serious disease or death, not because they are guaranteed to 100% always keep us safe,” Murray [, an assistant professor of epidemiology at Boston University School of Public Health] said.
(And moreover, this has been true for all vaccines ever made: no vaccine guarantees 100% protection from its illness, but nearly all significantly reduce the severity of breakthrough cases.)
Edit: to emphasize: there are other ways to prevent severe illness from COVID, like monoclonal antibodies (at least, the ones that still work against Omicron). But none of them counter what you've posited (making pharma companies money), and none have as mature, reliable, and freely available of a supply as do vaccines.
To reiterate: that doesn't mean that people shouldn't get antibody treatments, only that we should continue to practice "needs based" care: vaccinate everyone, and use the more drastic (expensive, logistically complex) treatments on those who need it the most.