> Congress cannot act on, and courts cannot examine, the President’s actions on subjects within his “conclusive and preclusive” constitutional authority. It follows that an Act of Congress—either a specific one targeted at the President or a generally applicable one—may not criminalize the President’s actions within his exclusive constitutional power. Neither may the courts adjudicate a criminal prosecution that examines such Presidential actions. We thus conclude that the President is absolutely immune from criminal prosecution for conduct within his exclusive sphere of constitutional authority.
Further evidence is that Sotomayors makes the claim in no uncertain terms and that the majority makes zero effort to dispute it.
They are not immune for the non-official act of soliciting or accepting bribes in exchange for an official act, which is the charge of bribery.
So if the President took a bribe in order to make someone ambassador to Sweden, they could not be prosecuted for making that person the ambassador, but they could be prosecuted for taking the bribe.
This isn't a misreading of the ruling. Justice Barret dissented from that particular part of the majority opinion, bringing up the hypothetical of bribery.
Enter LOBBYIST and POTUS on CONGRESS floor
LOBBYIST: projecting voice I am now rendering payment in exchange my appointment as ambassador to Sweden. What say you?
POTUS: projecting voice Yes, I knowingly accept these improper funds and -
CONGRESS immediately gathers a quorum, impeaches, and removes POTUS mid-sentence
POTUS: - name you ambassador to Sweden.