Remove folder and fildes embedded old libs in the subfolders libs or directly in the zip file.
Change all calls to LibAddonMenu-2.0 via e.g. local LAM= LibStub("LibAddonMenu-2.0") to directly use local LAM = LibAddonMenu2 instead.
Change the txt manifest file to ## DependsOn: LibAddonMenu-2.0>=31
Remove the word LibStub in the ## DependsOn or OptionalDependsOn lines in the txt.
Delete all lines from the txt that says something like
Install the newest version of LAM 2.0 to your live/AddOns folder directly (standalone installations like ana ddon with it's own LibAddonMenu-2.0.txt)