Partition dimension of projective planes

We determine the partition dimension of the incidence graph $G({\mathrm{\Pi }}_q)$ of the projective plane ${\mathrm{\Pi }}_q$ up to a constant factor $2$ as $(2+o(1))\log_2{q}\leq $\mathrm{p}\mathrm{d}$(G(\Pi_q))\leq (4+o(1))\log_2{q}.$