Issue with getting pushToStartTokenUpdates without creating a Live Activity

I'm trying to develop a Live Activity Extension. The problem is, I can't get pushToStartToken. I'm able to get it when I start a Live Activity, but I can't when I don't start a Live Activity.

This function successfully generates the token:

private func startNewLiveActivity() async {
    guard #available(iOS 16.2, *) else { return }
    
    let attributes = MyWidgetAttributes(
        homeTeam: "Badger",
        awayTeam: "Lion",
        date: "12/09/2023"
    )
    
    let initialContentState = ActivityContent(
        state: MyWidgetAttributes.ContentState(
            homeTeamScore: 0,
            awayTeamScore: 0,
            lastEvent: "Match Start"
        ),
        staleDate: nil
    )
    
    guard let activity = try? Activity.request(
        attributes: attributes,
        content: initialContentState,
        pushType: .token
    ) else { return }
    
    if #available(iOS 17.2, *) {
        Task {
            for await data in Activity< MyWidgetAttributes>.pushToStartTokenUpdates {
                let token = data.map { String(format: "%02x", $0) }.joined()
                // THE DESIRED pushToStartToken TOKEN IS GENERATED HERE
            }
        }
    }
    
    for await data in activity.pushTokenUpdates {
        let token = data.map { String(format: "%02x", $0) }.joined()
        // I send token to server here.
    }
}

But when I try to get pushToStartToken separately, without creating a live activity, it doesn't return any value:

private func getPushToStartToken() async {
    guard #available(iOS 17.2, *) else { return }
    
    Task {
        for await data in Activity<MyWidgetAttributes>.pushToStartTokenUpdates {
            let token = data.map { String(format: "%02x", $0) }.joined()
            // THIS DOESN'T GENERATE ANY TOKENS SINCE THE ACTIVITY IS NOT CREATED
        }
    }
}