xCode 13.1 -- MKMap mapView.addOverlay -- Compiler Error: Invalid library file

If you could show a complete code (including MapViewModel and the view showing MKMap), more readers would be involved solving your issue.

The message Compiler Error: Invalid library file seems to be so called a log noise and you may need to ignore them.

You can find many articles discussing the issue searching with "Compiler Error: Invalid library file".

You can file a bug report, but do not expect too much, this issue has being left for years.

Your implementation of UIViewRepresentable has some inappropriate parts, but the core reason you cannot find the overlay on map might be because you have not set colors of MKCircleRenderer.

struct MKMap: UIViewRepresentable {
    
    @ObservedObject var vm: MapViewModel = MapViewModel.shared
    //↓Do not instantiate a UIView in a property initializer
    //let mapView = MKMapView()
    
    func makeCoordinator() -> Coordinator {
        Coordinator(self)
    }
    
    
    // This funciton is called when we make the view
    func makeUIView(context: Context) -> MKMapView {
        let mapView = MKMapView() //<-

        mapView.delegate = context.coordinator
        mapView.userLocation.title = "user"
        mapView.showsUserLocation = true
        
        let point = CLLocationCoordinate2D(latitude: -73.68118286132812, longitude: 45.48589125320114)
        let overlay = MKCircle(center: point, radius: 30)
        
        mapView.addOverlay(overlay)
        
        let region = MKCoordinateRegion(center: vm.center, span: vm.span)
        
        mapView.setRegion(region, animated: true)
        
        return mapView
    }
    
    // Function called when the view is updated
    func updateUIView(_ mapView: MKMapView, context: Context) {
        //↓↓You need to prepare for updates...
        let region = MKCoordinateRegion(center: vm.center, span: vm.span)
        mapView.setRegion(region, animated: true)
        //...
    }
}

class Coordinator: NSObject, MKMapViewDelegate, CLLocationManagerDelegate{
    var parent: MKMap
    init(_ parent: MKMap){
        self.parent = parent
        
    }
    
    func mapView(_ mapView: MKMapView, rendererFor overlay: MKOverlay) -> MKOverlayRenderer {
        
        if let circle = overlay as? MKCircle { //<-
            print("--->>> I'm inside the rendererFor overlay in MKCircle Statement <<<---")
            let renderer = MKCircleRenderer(circle: circle) //<-
            renderer.fillColor = .green //<-#
            renderer.lineWidth = 100 //<- Isn't it too wide?
            renderer.strokeColor = .red //<-#
            return renderer
        }
        return MKOverlayRenderer()
    }
}

Did you ever find a solution, I am seeing this in 13.2

I do have the same Problem. Seeing this when adding a MKPolygon overlay. 13.2.1