The hotel offers budget single and double rooms, as well as a standard apartment. The budget single and double rooms are both non-smoking and can accommodate one adult each, with the double room offering two twin beds. The standard apartment is also non-smoking, but can accommodate up to five adults with a sofa bed and three twin beds.

Based on the provided data, guests at Börsen Annex can spend their time at the hotel by utilizing the featured amenities offered. Unfortunately, no specific information about the featured amenities is given, so it is not possible to provide details on how guests can engage with them. However, it can be assumed that these amenities are designed for leisure and relaxation, as they are typically included in hotels to enhance guests' stay and enjoyment.

Additionally, no information is provided about other amenities at the hotel, so it is not possible to include them in the answer.

In conclusion, while the data does not provide specific details about how guests can spend their time at the hotel, it can be assumed that there are leisure amenities available for their enjoyment.