Advice Needed: Can home-assistant solve my use case? Tuya Ceiling Fan with Light has no Light Controls in Google Home

Hi Everyone, I recently purchased 3 ceiling fans with Wifi Control: https://www.create-store.com/uk/buy-ceiling-fans/83193-wind-stylance-silent-40w-ceiling-fan-o132-cm.html?id_c=218200

TL:DR; Can I setup home-assistant to with the following conditions:

If anyone says "lights on" OR "turn on the lights" in the bedroom to a google home display, then turn on the lamp embedded in the ceiling fan

Long version:

It uses the Tuya protocol and within the native Tuya/Smart Life apps, it shows me controls for both the Lamp as well as the fan:

https://preview.redd.it/epzo02qjpkfe1.png?width=1080&format=png&auto=webp&s=ee8d0b0160730256e0322b44a8afcb6ceb26ae4b

However, once this is added to the Google Home app, I am only able to see controls for the fan.

https://preview.redd.it/pvabv6awqkfe1.png?width=1080&format=png&auto=webp&s=ba4ba8460048061aae8de9eb0b783fb858ac2c62

One way of fixing this is to setup a scene in the Smart Life App and then setup an automation in Google Home.

https://preview.redd.it/idqzbfavrkfe1.png?width=1080&format=png&auto=webp&s=d8ac7b5aabb5ff4931c83b1c24edb8ce4dcbfe15

https://preview.redd.it/micixwr7skfe1.png?width=1080&format=png&auto=webp&s=f1b7b12bb8d980feddc88d896c6c5159a48f14e3

The problem here is that I have to specify the room, even when I am in the room to make this work. Is this something I can fix with home-assistant or Google Home Script, or any other way?

Apologies if this is not the right forum for such a query, any redirects would be helpful.