Group AppIntents’ Searchable DynamicOptionsProvider in Sections

I’m trying to group my EntityPropertyQuery selection into sections as well as making it searchable.

I know that the EntityStringQuery is used to perform the text search via entities(matching string: String). That works well enough and results in this modal:

Though, when I’m using a DynamicOptionsProvider to section my EntityPropertyQuery, it doesn’t allow for searching anymore and simply opens the sectioned list in a menu like so:

How can I combine both? I’ve seen it in other apps, but can’t figure out why my code doesn’t allow to section the results and make it searchable? Any ideas?

My code (simplified)

struct MyIntent: AppIntent {
    @Parameter(title: "Meter"),
               optionsProvider: MyOptionsProvider())
    var meter: MyIntentEntity?

    // …

struct MyOptionsProvider: DynamicOptionsProvider {
    func results() async throws -> ItemCollection<MyIntentEntity> {        
        // Get All Data
        let allData = try IntentsDataHandler.shared.getEntities()
        
        // Create Arrays for Sections
        let fooEntities = allData.filter { $0.type == .foo }
        let barEntities = allData.filter { $0.type == .bar }
        
        return ItemCollection(sections: [
            ItemSection("Foo",
                        items: fooEntities),
            ItemSection("Bar",
                        items: barEntities)
        ])
    }
}

struct MeterIntentQuery: EntityStringQuery {
    // entities(for identifiers: [UUID]) and suggestedEntities() functions
    
    func entities(matching string: String) async throws -> [MyIntentEntity] {
        // Fetch All Data
        let allData = try IntentsDataHandler.shared.getEntities()
        
        // Filter Data by String
        let matchingData = allData.filter { data in
            return data.title.localizedCaseInsensitiveContains(string))
        }
        
        return matchingData
    }
}