The construction is still ongoing. I was told it will probably be another two weeks. The lobby area really is like a maze.

The hotel shuttle only costs to the airport according to the web page. From the airport it is free. However it runs only during a brief period in the morning and then in the evening again. I am not sure how usable it is for most people.

As a reference, my Uber Black ride cost 37 EUR. A regular Uber would have been about 10-12 EUR less.