  We construct a (1+1)$d$ topological field theory (TFT) whose topological
defect lines (TDLs) realize the transparent Haagerup $\mathcal{H}_3$ fusion
category. This TFT has six vacua, and each of the three non-invertible simple
TDLs hosts three defect operators, giving rise to a total of 15 point-like
operators. The TFT data, including the three-point coefficients and lasso
diagrams, are determined by solving all the sphere four-point crossing
equations and torus one-point modular invariance equations. We further verify
that the Cardy states furnish a non-negative integer matrix representation
under TDL fusion. While many of the constraints we derive are not limited to
the this particular TFT with six vacua, we leave open the construction of TFTs
with two or four vacua. Finally, TFTs realizing the Haagerup $\mathcal{H}_1$
and $\mathcal{H}_2$ fusion categories can be obtained by gauging algebra
objects. This note makes a modest offering in our pursuit of exotica and the
quest for their eventual conformity.
