Revit 2020.2 release made a change to the Project Base Point that affected many users by removing the clip/unclip capability for it. Previous releases of Revit had a paper clip symbol that the user could see next to the Project Base Point symbol as shown below.
While this clip feature is no longer part of Revit as of the 2020.2 (it is still in 2020.1), the user still has the capability to move the project.
To move/relocate the project, go to the Manage tab -> Project Location panel -> Position dropdown -> Relocate Project. This is in essence the Move command and allows you to move the project to the correct coordinate location. To move the project vertically, go to an elevation or section view.
With the paper clip feature, when you dragged the Project Base Point symbol, the coordinates changed on the screen. You could also type the coordinates directly into the Project Base Point on the screen. It no longer works this way. This did not truly move/relocate the project and actually just provided a local coordinate system that a spot coordinate could report on.
While a user may agree or disagree with this move by Autodesk, it has been changed and users will need to adapt to not having the clip feature for the Project Base Point.
Note that the clip/unclip feature remains the same for the Survey Point and is unchanged.