Jack Milne bundled the ball over the line from a corner to send the 2025 Scottish Cup winners through.
Irishman Lowry found both bunker and water on the 18th, finishing with a double bogey that shattered his hopes.
Ireland and Scotland and hosts Australia and New Zealand were also drawn together.
The head coach’s position is under scrutiny as the ECB reviews a dismal Ashes defeat.
‘I can’t see any of those horses having a chance at Cheltenham in March’.