affine plane over Q with two points identified diagram

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

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

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