Right, you have a hidden Vertex here:
in Edit Mode ALT+H to show it and the Delete it (this is also in Cube.009, but connected by an Edge and that gives one of those strange lines in Object Mode, because parts of a Mesh, that are Hidden in Edit Mode, are visible in Object Mode!).
Furthermore you have an extra Edge that shouldn’t be there:
A bit tricky to select when not moving that corner, but try it in Wireframe. When that Edge is removed, all looks fine:
