An employee is separated from State service when the appropriation in the State budget for the position is: omitted by the Governor, as evidenced in the supporting documentation submitted with the budget; struck by the General Assembly, as evidenced in the budget bill or in the report of the budget committees; or reduced by the Governor in accordance with § 7-213 of the State Finance and Procurement Article, as evidenced in the supporting documentation submitted to the Board of Public Works. An employee may not appeal a separation from employment under this section. An employee who is separated under this section is not subject to the layoff provisions of Subtitle 2 of this title with the exception that an employee who is separated shall have the same reinstatement rights as a laid-off employee.