File graphic By Matt de Simone   The Botetourt County Board of Supervisors approved the county's fiscal year 2027 budget Monday night by a 3-2 vote, concluding weeks of discussion over school funding, county finances and long-term budget priorities. Board Chair Mac Scothorn, who presided over the meeting, was joined by Fincastle Supervisor Brandon Nicely and Amsterdam Supervisor Tim Snyder in voting to approve the budget. Buchanan Supervisor Linda Rottman and Blue Ridge Supervisor Walter Michael voted against the measure. Before the vote, Scothorn asked Snyder and Rottman to share their perspectives following a June 11 meeting with county auditors,...