I've just discovered that the railway line to Budapest airport goes to the terminal that's closed (Terminal 1), and not to the one that everyone currently uses (Terminal 2), and therefore I'll have to get a bus (200E) to the train or metro to get into the city centre.
My hotel have suggested that the quickest way to reach them by public transport from the airport is to take the 200E bus to the last stop, Kőbánya-Kispest, change to the metro, then later change to a tram. From the map I've found on the BKK website, that all looks fine.
That then leads me onto the ticket required. I've had a read of the WikiVoyage page for Budapest under Tickets & Passes, and the BKK tickets page in English, but I'm still not sure. I'm fairly sure that the Single ticket (vonaljegy) for HUF 350 is no good. I would've thought that a Transfer ticket (átszállójegy) would cover me, which WikiVoyage describes as Valid for one journey within the city limits, transfer allowed (since it's one journey with transfers Bus-Metro and Metro-Tram), but having read the BKK English page on that ticket I'm now less sure.
So, to take the 200E bus from the Airport, then the metro, and then a tram, all as a single journey, what is the ticket I should be trying to buy?