How do I animate exchanging one image for another in SwiftUI?

Question

I am exchanging one image for another in a view as a result of a tap, double-tap, or drag gesture, and I would like to animate the transition between images. As shown below, I'm using withAnimation within onEnded for both the tapDouble and the horizontal drag gestures. (The animation is omitted from the other gestures for comparison.) In neither case does refreshing the view behave differently from the unanimated gestures. I would appreciate help in figuring out how to animate the replacement of an image.

struct PieceView: View {
    var id: String
    var ext: String
    @State private var image: Image
    var drag: some Gesture {
        DragGesture()
            .onEnded { gesture in
                if abs(gesture.translation.width) > abs(gesture.translation.height) {
                    withAnimation(.easeIn(duration: 2.0)) {
                        image = Image(id + "4")
                    }
                    flipHorizontal()
                } else {
                    image = Image(id + "6")
                    flipVertical()
                }
            }
    }
    var tapSingle: some Gesture {
        TapGesture()
            .onEnded{_ in
                image = Image(id + "1")
                rotateRight()
            }
    }
    var tapDouble: some Gesture {
        TapGesture(count: 2)
            .onEnded{_ in
                withAnimation(.easeIn(duration: 2.0)) {
                    image = Image(id + "3")
                }
                rotateLeft()
            }
    }

    var body: some View {
        ZStack {
            image
                .gesture(drag)
            Image("emptySquare")
                .padding(0)
                .gesture(tapSingle)
                .highPriorityGesture(tapDouble)
        }
    }
    init() {
        id = ""
        ext = ""
        image = Image("")
    }
    init(id: String, ext: String = "0") {
        self.id = id
        self.ext = ext
        self.image = Image(id + ext)
    }
    func rotateRight() -> () {
        print ("\(id) rotated right")
    }
    func rotateLeft() -> () {
        print ("\(id) rotated left")
    }
    func flipHorizontal() -> () {
        print ("\(id) flipped horizontal")
    }
    func flipVertical() -> () {
        print ("\(id) flipped vertical")
    }
}