For all those coming to Copenhagen for ICANN 58 Hotel Bella Sky does have an airport shuttle and the cost is included in your room rate. Per an e-mail received today from the hotel:

 

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The shuttle operates daily between 06:30-22:30 on a first come first served basis.
Frequency is every 30 min and departure is from outside terminal 2 at the bus stops.
Pre order from the airport to the hotel is not possible. However, from the hotel to the airport you have to make a booking at the front desk.
 
The shuttle costs DKK 15 but this is included in the room rate.
 

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I hope this is helpful.

 

Safe travels everyone!

 

Ed Morris