Pach's conjecture on tangencies among precisely 1-intersecting curves

Let a family of planar curves be precisely 1-intersecting if every pair of curves has precisely one common point, either a crossing or a tangency, and assume that no three curves share a common point. Pach's conjecture. Every family of $n$ precisely $1$-intersecting planar curves in which no three curves share a common point admits $O(n)$ tangencies.

This conjecture concerns the extremal number of tangencies in arrangements of pseudo-segments. It was settled by the authors for $x$-monotone curves, while the general case stated here is resolved according to the supplied status.