Does the wife deserve alimony if she leaves the marital home without her husband's permission and requests a divorce, especially given that the husband divorced her in the car?

If a wife leaves her husband's home without his permission and without necessity, she is considered disobedient (nashiz). Her right to maintenance (nafaqah) is forfeited, whether the divorce is irrevocable (ba'in) or revocable (raj'i), unless she is pregnant, because her maintenance is forfeited due to her disobedience.