Is it possible to change image with fade animation using same Image? (SwiftUI)

According to my logic, on tap gesture to the image it should be changed with fade animation, but actual result is that image changes without animation. Tested with Xcode 11.3.1, Simulator 13.2.2/13.3 if it is important.

P.S. Images are named as "img1", "img2", "img3", etc.

enum ImageEnum: String {
    case img1
    case img2
    case img3

    func next() -> ImageEnum {
        switch self {
            case .img1: return .img2
            case .img2: return .img3
            case .img3: return .img1
        }
    }
}

struct ContentView: View {
    @State private var img = ImageEnum.img1
    var body: some View {
        Image(img.rawValue)
            .onTapGesture {
                withAnimation {
                    self.img = self.img.next()
                }
            }
    }
}

Update: re-tested with Xcode 13.3 / iOS 15.4

Here is possible approach using one Image (for demo some small modifications made to use default images). The important changes marked with comments.

enum ImageEnum: String {
    case img1 = "1.circle"
    case img2 = "2.circle"
    case img3 = "3.circle"

    func next() -> ImageEnum {
        switch self {
            case .img1: return .img2
            case .img2: return .img3
            case .img3: return .img1
        }
    }
}
struct QuickTest: View {
    @State private var img = ImageEnum.img1
    @State private var fadeOut = false
    var body: some View {
        Image(systemName: img.rawValue).resizable().frame(width: 300, height: 300)
            .opacity(fadeOut ? 0 : 1)
            .animation(.easeInOut(duration: 0.25), value: fadeOut)    // animatable fade in/out
            .onTapGesture {
                self.fadeOut.toggle()                 // 1) fade out

                // delayed appear
                DispatchQueue.main.asyncAfter(deadline: .now() + 0.25) {
                    withAnimation {
                        self.img = self.img.next()    // 2) change image
                        self.fadeOut.toggle()         // 3) fade in
                    }
                }
            }
    }
}