Require mouseExit after hotkey close before re-opening

Downterm/CommandNotch/Models/NotchViewModel.swift

@@ -12,6 +12,7 @@ class NotchViewModel: ObservableObject {
     @Published var closedNotchSize: CGSize
     @Published var isHovering: Bool = false
     @Published var isCloseTransitionActive: Bool = false
+    @Published var suppressHoverOpenUntilHoverExit: Bool = false
 
     let terminalManager = TerminalManager.shared
 
@@ -74,6 +75,9 @@ class NotchViewModel: ObservableObject {
     func beginCloseTransition() {
         closeTransitionTask?.cancel()
         isCloseTransitionActive = true
+        if isHovering {
+            suppressHoverOpenUntilHoverExit = true
+        }
 
         let delay = closeInteractionLockDuration
         closeTransitionTask = Task { @MainActor [weak self] in
@@ -90,6 +94,10 @@ class NotchViewModel: ObservableObject {
         isCloseTransitionActive = false
     }
 
+    func clearHoverOpenSuppression() {
+        suppressHoverOpenUntilHoverExit = false
+    }
+
     deinit {
         closeTransitionTask?.cancel()
     }