FatPhil
Maaamet labels the stretch from Wine Library to DOM as Raekoja Plats. DOM has the address "Kinga 1" officially, but the road is still apparently called Raekoja Plats at that point:
https://xgis.maaamet.ee/maps/XGis?app_id=MA07H5&user_id=at&LANG=1&WIDTH=1618&HEIGHT=927&zlevel=12,542247.40600577,6589087.7227789&setlegend=FMAKAT02_07=0,FMAKAT06_07=1,HMAHYBR_ALUS04_07=1,HMAHYBR_ALUS_01_07=0