The Supreme Court didn't find that the employer vaccine mandate was unconstitutional, they found that it was outside of OSHA's Congressionally-approved powers. Statutory law, not constitutional.
That political press release doesn't support your earlier point that it was proven "unconstitutional." In fact review of the SCOTUS opinion shows that they (6-3) found that OSHA exceeded their congressional authority, not violated the US Constitution.
> “Although Congress has indisputably given OSHA the power to regulate occupational dangers, it has not given that agency the power to regulate public health more broadly,” the court wrote
If you want to show how this was unconstitutional then you'll need to show something else entirely. This SCOTUS opinion isn't proof of that, no matter if it is from a ".gov" site or not.
It does dawn on you that this is expressly written in a manner which entices the idea such congressional authority exists. And yet does not mean that the authority exists. One cannot grant what it does not have.
Get over the fact that a third of people in the country will go along with anything they're told and another third are so craven and cowardly they'll accept any answer at all to assuage their own fears?