  Consider the blow-up $X$ of $\mathbb{P}^3$ at 6 points in very general
position and the 15 lines through the 6 points. We construct an infinite-order
pseudo-automorphism $\phi_X$ on $X$, induced by the complete linear system of a
divisor of degree 13. The effective cone of $X$ has infinitely many extremal
rays and hence, $X$ is not a Mori Dream Space. The threefold $X$ has a unique
anticanonical section which is a Jacobian K3 Kummer surface $S$ of Picard
number 17. The restriction of $\phi_X$ on $S$ realizes one of Keum's 192
infinite-order automorphisms of Jacobian K3 Kummer surfaces. In general, we
show the blow-up of $\mathbb{P}^n$ ($n\geq 3$) at $(n+3)$ very general points
and certain 9 lines through them is not Mori Dream, with infinitely many
extremal effective divisors. As an application, for $n\geq 7$, the blow-up of
$\overline{M}_{0,n}$ at a very general point has infinitely many extremal
effective divisors.
