I have read the book of Daniel doesn’t say the third temple will be built spot on Solomon’s temple though it does say it will be rebuilt....the temple mount is a fairly large sloping area with the mosque at the top but also streets and neighborhoods and the wailing wall spiraling all up and around it. Plenty of other spots on the mount to build a temple....which is what the 2003 Israeli orthodox rabinnical students were pointing out!
But then it’s their idea not what scripture says. All the times the Temple was rebuilt after its destruction it was always on the same spot.