Pointed half-plane meandric-system scaling limit conjecture

Let $(\mathcal M^\circ,P^\circ,\Gamma^\circ)$ be the infinite random planar map decorated by a bi-infinite Hamiltonian path and loops and possibly infinite paths associated with the pointed infinite half-plane meandric system (PIHPMS). Let $\gamma^\circ$ be the path started from $0$ in $\Gamma^\circ$, which is almost surely the unique infinite path. PIHPMS scaling limit conjecture. Under an appropriate scaling limit, $(\mathcal M^\circ,P^\circ,\gamma^\circ,\Gamma^\circ\setminus\gamma^\circ)$ converges to a $\sqrt2$-LQG wedge, a space-filling SLE$_8$ from $\infty$ to $\infty$ in the half-plane, a chordal SLE$_6$ from $0$ to $\infty$ in the half-plane, and a CLE$_6$ in the complement of the SLE$_6$ curve, equivalently a union of conditionally independent CLE$_6$ ensembles in the complementary components. This continuum prediction concerns the pointed model and remains open.