Arriving in Dubrovnik Late

If you are flying in there will either be a bus or taxis or maybe even both. If it would make you feel better, definitely order a pickup in advance.

Thank you for your response. Do the buses run that late? What is appropriate price for a taxi from the airport to Ploce gate?

Last October we had our Airbnb book us an uber from the airport to her place which was above the gate for E25. I would expect to pay more since it's later in the evening and just FYI it is a much longer car ride than I expected. Anything under E50 I would be fine with. J

Here's the website for the airport bus:
Platanus Bus

There is always a bus, but it is not always marked as such, so don't be
afraid to check/confirm. Downside is that it only makes two stops so
unless your accommodation is close by, you're walking late at night.

The last Airport bus leaves DBV Airport at 9:40 pm.
There definitely will be taxis at the airport, although you could arrange one with your hotel.