Getting an Updated Value Through @EnvironmentObject

I have a simple project as follows.

import SwiftUI

class GameSettings: ObservableObject {
	@Published var score: Int = 100
}

struct ContentView: View {
	@StateObject var settings = GameSettings()
	
	var body: some View {
		GeometryReader { geo in
			ZStack {
				HStack(spacing: 0.0) {
					RightView().environmentObject(GameSettings())
						.frame(width: geo.size.width / 2.0, height: geo.size.height)
					Spacer()
				}
				VStack {
					HStack {
						Spacer()
						Button {
							print("\(settings.score)")
						} label: {
							Text("Print")
								.font(.largeTitle)
						}.padding(.trailing, 40.0)
					}
					Spacer()
				}
			}
		}
	}
}

struct RightView: View {
	@EnvironmentObject var settings: GameSettings
	
	var body: some View {
		ZStack {
			Color.red
			Button {
				settings.score += 100
			} label: {
				Text("Change")
					.font(.largeTitle)
			}
		}.environmentObject(settings)
	}
}

So the score is supposed to increase by 100 if I tap the button over the red area. And I want to print the latest value by tapping the Print button at the top-right corner. But it will remain at 100. What am I doing wrong? And can I achieve my goal without using an @ObservedObject variable? Thanks.