buses – Bratislava (airport) to Budapest

I am traveling to Budapest next month via Bratislava airport.
We will be arriving at 20:40 in Bratislava, and we want to catch a bus or train to Budapest ASAP.

From what I have found the best option is to catch the 21:30 FlixBus from Bratislava, AS Mlynské nivy station.

The only other available options, that leave later from Bratislava airport, are going through Vienna, which is in the opposite direction, and the trip lasts many hours.

So I would like to ask, if you think it would be possible (if the flight has no delays of course) to make it to the bus station by 21:30 from the airport (leaving say at 21:00) on a Friday night. (We will take a taxi from the airport in order to have a chance to be on time.) Our flight is from within Schengen, so we’ll only have to wait for checked bags, not immigration.

P.S. If you know of any other available options please let me know.

Update
The FlixBus service is the only one I could find online. I would be greatful if someone local can point me to other transportation services available (like local bus companies) that have any routes later that 21:30 from Bratislava to Budapest.

I would be interested also to know how much approximately a taxi fare would be.

AFTER TRIP UPDATE

For what it’s worth, it seems that we could have made it after all, but it would cost about 25€(~30$).

The taxi ride was less than 15 minutes, with almost no traffic at all (being it holy Friday i suppose(?)) and since we had no checked in bags, and the taxis were just outside the arrival hall, we were able to get one at 21:00.

Just be careful when going to the bus station, as it seems that the old terminal, that is permanently closed, is still listed on Google maps, and that can be misleading.

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