Qantas is not Qatar.
So we're looking at QR 96 from Vienna to Doha, 1555-2215.
Which actually narrows things down a bit, if we assume that teams can get to their destination through Doha faster rather than through Dubai. There are a few flights today from Vienna to Dubai, so the chances of selling out are lower. Presumably they're not connecting to fly back to Europe, and presumably they're not going to Saudi Arabia or Iran (problematic for female racers)...
Doha (night arrival)
Bahrain (night arrival)
Melbourne (too far a jump)
Jakarta (too much Indonesia recently)
Ho Chi Minh City (visited last season)
Cities faster through Vienna-Dubai flight
Dubai, Abu Dhabi, Ras al-Khaymah, Sharjah, Kuwait
Nairobi, Khartoum, Lagos, Entebbe
Male, Delhi, Karachi, Peshawar, Dhaka, Lahore
Osaka, Tokyo, Kuala Lumpur, Singapore, Guangzhou, Beijing, Perth
Cities faster through other flights
Casablanca, Cairo, Istanbul, Algiers, Ankara, Tunis, Tripoli, Johannesburg, Dar es Salaam
Moscow, Amman, Baku, Muscat, Beirut
Hong Kong, Manila, Seoul, Bangkok, Shanghai
I was checking out the math here and I think there may be a mistake in the conclusion that Abu Dhabi be de-considered based on faster flight through Dubai.
Based on the apparent access to a flight leaving Vienna at 3:55 pm on June 22nd one would expect the earliest flight they could have used from Vienna to Dubai was EK 128 leaving Vienna at 3:30 pm and arriving in Dubai at 10:55 pm. Then, looking at what was available at DXB from 11:55 pm onward, the next flight to Abu Dhabi would be ... none. There are no direct flights from DXB to AUH. So, is there a quick connection? The time to beat would be QR 122 which leaves DOH at 11:59 pm and arrives at AUH at 2:00 am on the 23rd. Looking at AUH arrivals making it before 2:00 am on the 23rd there is no matched city to departures from DXB except for Kuwait which doesn't work because EK 853 arrives in Kuwait after 9W 575 leaves. Can't make the connection.
So my conclusion is that it is possible that Teams went to Abu Dhabi using this flight combination on June 22nd:
QR 96 leaving Vienna at 3:55 pm and arriving in Doha at 10:15 pm
QR 122 leaving Doha at 11:59 pm and arriving in Abu Dhabi at 2:00 am