  We perform extensive three-loop tests of the hexagon bootstrap approach for
structure constants in planar $\mathcal{N}=4$ SYM theory. We focus on
correlators involving two BPS operators and one non-BPS operator in the
so-called $SL(2)$ sector. At three loops, such correlators receive wrapping
corrections from mirror excitations flowing in either the adjacent or the
opposing channel. Amusingly, we find that the first type of correction
coincides exactly with the leading wrapping correction for the spectrum
(divided by the one-loop anomalous dimension). We develop an efficient method
for computing the second type of correction for operators with any spin. The
results are in perfect agreement with the recently obtained three-loop
perturbative data by Chicherin, Drummond, Heslop, Sokatchev [2] and by Eden
[3]. We also derive the integrand for general multi-particle wrapping
corrections, which turns out to take a remarkably simple form. As an
application we estimate the loop order at which various new physical effects
are expected to kick-in.
