affine plane over Q with two points identified diagram

Consists of a scheme $X$, satisfying the following properties:

$X$ connected, pure dimension 2, locally noetherian, affine, not regular, quasi-compact, dimension 2, not cohen-macaulay, reduced, noetherian, finite dimensional, all stalks of the structure sheaf are domains, all stalks of the structure sheaf are irreducible, excellent, integral, separated, not normal, irreducible

By the theorems, we also have {"X": {"quasi-separated": true}}