Send a message to the UIKit responder chain from a SwiftUI view

ExampleView.swift

@objc protocol ExampleActions: AnyObject {
    func pushUIKitViewController()
}

struct ExampleView: View {
    @FirstResponder private var firstResponder
    
    var body: some View {
        Button {
            firstResponder.sendAction(#selector(ExampleActions.pushUIKitViewController))
        } label: {
            Text("Push some UIKit view controller")
        }
        .responderChain(from: firstResponder)
    }
}

ResponderChain.swift

import SwiftUI

extension View {
    /**
     *  Provide access to the `UIKit` responder chain, rooted in a first responder inserted where the modifier
     *  is applied.
     */
    func responderChain(from firstResponder: FirstResponder) -> some View {
        background(ResponderChain(firstResponder: firstResponder))
    }
}

/**
 *  A view providing access to the `UIKit` responder chain.
 */
private struct ResponderChain: UIViewRepresentable {
    let firstResponder: FirstResponder
    
    func makeUIView(context: Context) -> UIView {
        .init()
    }
    
    func updateUIView(_ uiView: UIView, context: Context) {
        firstResponder.view = uiView
    }
}

/**
 *  Provide access to a first responder. A property wrapper is used as syntactic sugar, and a class
 *  is required for mutation of the view property during SwiftUI body updates.
 */
@propertyWrapper class FirstResponder {
    fileprivate weak var view: UIView?
    
    var wrappedValue: FirstResponder {
        self
    }
    
    @discardableResult
    func sendAction(_ action: Selector, for event: UIEvent? = nil) -> Bool {
        UIApplication.shared.sendAction(action, to: nil, from: view, for: event)
    }
}