I use Home Assistant to turn on/off the TV via automations, sensors, etc.

I could possibly do it via HDMI CEC, but I have a couple of Sony Bravia TVs that more often than not completely ignores that, so I prefer having control over assuming it happens.

There is sadly no hdmi CEC support on Most GPUs for pcs. So when you want your tv to turn on and off with your pc it is only possible with the tv being reachable from your pc via ip.

I believe LG doesn’t advertise such an api via Bluetooth