SwiftUI use TabView with Picker

I'm trying to use a Picker to change the selected tab.

The issue is that when I tap on the picker, the content changes without animation.

Scrolling between tabs works correctly (the picker animates accordingly).

struct ContentView: View {
@State var tabSelectedValue = 0

var body: some View {

    VStack {
        
        Picker("", selection: $tabSelectedValue) {
            Text("First").tag(0)
            Text("Second").tag(1)
        }
        .pickerStyle(SegmentedPickerStyle())
        .padding()
         
        TabView(selection: $tabSelectedValue) {
         
            Text("Content for first tab")
                .tag(0)
        
            Text("Content for second tab")
                .tag(1)
            
            
        }
        .tabViewStyle(.page(indexDisplayMode: .never))
    }
    .padding()
}

}