For the sake of bringing closure to this topic, I checked seatcounter the day after LH sent me the proposed itinerary. TG showed availability in H for the Aug. 8 so I called LH and they rebooked me. Although the LH office in Italy was able to rebook the flights, they could not issue the ticket. The ticket could only be issued by the LH RTW office in Germany. Easy enough to do, however. ^