<Cir-2025-790>, hint

<MAN=<MEN=x, <MBN=<MDN=y AB=DE  hence triangles MAB and MED are congruent

<AME=<AMD-<EMD=<BMD=<AMD-<AMB=z. Since isosceles triangles MAE and MBD are similar . Thus <MEA=<MBD=w. Since <AEM=180<MEA=DCM=180-<MBD =180-w.

Hence A,E,C,D are concyclic.