There’s no mechanism for that under the Constitution.
There’s no mechanism for removing a fraudulently installed President either. And yet the people have the right to do so. The 9th and 10th Amendments and the Declaration of Independence acknowledge that right.
We’re in uncharted territory so the mechanism is unclear. The people will have to create the mechanism. Living with an illegitimate Supreme Court Justice for the next 30 years is not an acceptable option for a free people.