Buttons become unresponsive after using .windowStyle(.plain) with auto-hiding menu

I'm developing a visionOS panorama viewer app where I need to implement an auto-hiding floating menu in immersive space. The menu should: Show for 3 seconds when entering immersive mode Auto-hide after 3 seconds, Reappear when user taps anywhere (using SpatialTapGesture). Buttons should respond to gaze + pinch interaction

The Problem:

When I add .windowStyle(.plain) to achieve transparent window background for the auto-hide effect, all buttons in the menu become completely unresponsive to gaze + pinch interaction. The buttons only respond to direct finger touch (poking).

Without .windowStyle(.plain): Buttons work correctly with gaze + pinch, but I cannot achieve transparent window background for hiding. With .windowStyle(.plain): Window can be transparent, but buttons lose gaze + pinch interaction.

Code:

App.swift:

@main
struct MyApp: App {
    @StateObject private var model = AppModel()

    var body: some Scene {
        WindowGroup(id: "MainWindow") {
            ContentView()
                .environmentObject(model)
        }
        .defaultSize(width: 900, height: 700)
        .windowResizability(.contentSize)
        .windowStyle(.plain)  // <-- This causes the interaction issue

        ImmersiveSpace(id: "ImmersiveSpace") {
            ImmersiveView()
                .environmentObject(model)
        }
    }
}

ContentView.swift (simplified):

struct ContentView: View {
    @EnvironmentObject var model: AppModel
    @State private var isMenuVisible: Bool = true
    
    var body: some View {
        VStack {
            if model.isImmersiveViewActive {
                if isMenuVisible {
                    // This menu's buttons don't respond to gaze+pinch
                    immersiveControlMenu
                }
            } else {
                mainMenuButtons
            }
        }
        .glassBackgroundEffect()
    }
    
    private var immersiveControlMenu: some View {
        HStack {
            Button("Exit") {
                exitImmersiveSpace()
            }
            .buttonStyle(.bordered)  // Also tried .plain, same issue
        }
        .padding()
        .glassBackgroundEffect()
    }
}

ImmersiveView.swift:

struct ImmersiveView: View {
    @EnvironmentObject var model: AppModel
    
    var body: some View {
        RealityView { content in
            // Panorama sphere
            let sphere = ModelEntity(mesh: .generateSphere(radius: 1000), materials: [material])
            content.add(sphere)
            
            // Tap detector for menu toggle
            let tapDetector = Entity()
            tapDetector.components.set(CollisionComponent(shapes: [.generateSphere(radius: 900)]))
            tapDetector.components.set(InputTargetComponent())
            content.add(tapDetector)
        }
        .gesture(
            SpatialTapGesture()
                .targetedToAnyEntity()
                .onEnded { _ in
                    model.shouldShowMenu = true
                }
        )
    }
}

Environment: Xcode 26.2 visionOS 26.3 Vision Pro device

Questions:

1. Is .windowStyle(.plain) expected to affect button interaction behavior?
2. What is the recommended approach to achieve a transparent/hidden window in immersive mode while maintaining button interactivity?
3. Is there an alternative to .windowStyle(.plain) for hiding window chrome in visionOS?

Thank you for any guidance!