I haven’t used a MyQ Smart Garage Control myself, but I have seen lots of people complaining about how unreliable they are.

I suggest ratgdo instead (it connects to Home Assistant via MQTT or ESPHome and doesn’t use the cloud at all). Or rat-ratgdo if you want to build it yourself.

That may not fit your needs though, if you want a cloud-based solution.

You aren’t renting, you bought this home. Run a new wire and get it powered how you want.

Or, replace the switches with smart switches, replace the bulbs with smart bulbs, and leave the circuit powered permanently and link the switches to command the bulbs over the network (without using the switches relays at all).