Looking at Mapillary street view images, it indeed is not one way street. Latest data comes from 2022 year. However, there is a one way street end sign on the Harku and Vana-Mustamäe street crossing and also a bit after Kitsarööpa foot and cycle way crossing, there is one way street sign. 

One way street start:
https://www.mapillary.com/app/?lat=59.38608964081001&lng=24.66971725358212&z=17.719679668881515&pKey=5272025586241187&focus=photo

One way street end:
https://www.mapillary.com/app/?lat=59.387922279239&lng=24.67994116348&z=17&pKey=1479091159181415&focus=photo