Transitive dendrite map with zero entropy

Hoehn and Mouron [Ergod. Th. & Dynam. Sys. (2014) $\mathbf{\text{34}}$, 1897–1913] constructed a map on the universal dendrite that is topologically weakly mixing but not mixing. We modify the Hoehn-Mouron example to show that there exists a transitive (even weakly mixing) dendrite map with zero topological entropy. This answers the question of Baldwin [Topology (2001) $\mathbf{\text{40}}$, 551–569].