  We consider bosonic string theory on $\text{AdS}_3$ supported by Kalb-Ramond
flux. It is well known that the $\alpha'$ exact worldsheet theory is described
by the $\text{SL(2,R)}$ WZW model. In this note we perform checks of an
$\alpha'$ exact dual description proposed in [arXiv:2104.07233] involving a
winding condensate on a free theory background. We give the explicit map of
vertex operators for normalizable states on both sides of the duality and
demonstrate the equivalence of their two and three point functions by direct
computation. The duality is of strong-weak nature in $\alpha'$.
