  First-quantized propagation in quantum gravitational AdS$_3$ backgrounds can
be exactly reconstructed using CFT$_2$ data and Virasoro symmetry. We develop
methods to compute the bulk-to-boundary propagator in a black hole microstate,
$\langle \phi_L \mathcal{O}_L \mathcal{O}_H \mathcal{O}_H\rangle$, at finite
central charge. As a first application, we show that the semiclassical theory
on the Euclidean BTZ solution sharply disagrees with the exact description, as
expected based on the resolution of forbidden thermal singularities, though
this effect may appear exponentially small for physical observers.
