Homekit: multi mode button in home app

Is anyone aware of a HomeKit enabled device which exposes a control element/button in the Home app which allows you to cycle through modes (each click changes a "mode" - whatever mode means for the particular device)? I'm trying to find out whether this kind of button/control exists in HomeKit/Home app to build a device that exposes such a button.

Edit

Here is what I am referring to. The image shows 2 controls (a slider and a switch). I require the switch to have more than two states. Does anyone know if there is a device that exposes such a behaviour to Homekit?

Not a complete answer, but here's a list of all accessory service types supported in Apple HomeKit. This defines the entire scope of possibilities in the Home app.

https://developer.apple.com/documentation/homekit/hmservice/accessory_service_types

The accessory categories are:

• Light
• Power and Switches
• Air Quality and Smoke Detection
• Temperature and Humidity
• Windows
• Water
• Locks and Openers
• Safety and Security
• Video and Audio
• Information

However, I am not familiar enough with the HomeKit ADK to fully answer your question.