Does this qualify for the free 6 day free transit

We fly from TPA to FRA on Lufthansa then FRA to CAI on Egypt Air. Then CAI to AUH on Etihad. Then AUH to PVG on Etihad. We stay 5 nights in Shanghai at the Hilton. Fly back to USA on American PVG to DFW then connect to DFW to TPA.


I think this qualifies for the free 6 day free transit but would like verification

thanks