They won’t claim it.
They will destroy it, as they do now in Iran and Saudi Arabia (Wahabis and Iranian Shia fundamentalists) with any artifact, monument or shrine that predates Islam and/or conflicts with lifting up their own sect of Islam.
Well they sure love to tunnel into Israel! ;^)
There are hundreds of thousands of miles of similar (but less precisely built) tunnels throughout Iran. So far there’ve been no sightings of Moslems destroying those tunnels simply because they pre-date Mohammad. In fact, they jealously guard them since that’s how they get water.