How to programmatically erase an optional TextField value in SwiftUI?

In this sample I want to clear the value of a TextField with a custom button. However, the button action (value = nil) seems to be ignored. Why?

Sample video

Tested on Xcode 14 beta 6 (iOS 16).

struct ContentView: View {
    @State private var value: Int?
    @FocusState var focused: Bool
    
    var buttonOpacity: Double {
        focused && value != nil ? 1 : 0
    }
    
    var body: some View {
        Form {
            HStack {
                TextField("Value", value: $value, format: .number.grouping(.never))
                    .focused($focused)
                    .keyboardType(.numberPad)
                Spacer()
                Button {
                    value = nil
                } label: {
                    Label("Erase", systemImage: "multiply")
                        .labelStyle(.iconOnly)
                        .imageScale(.medium)
                        .symbolVariant(.circle.fill)
                        .symbolRenderingMode(.hierarchical)
                        .foregroundStyle(.secondary)
                }
                .buttonStyle(.plain)
                .opacity(buttonOpacity)
            }
        }
    }
}