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Use webhooks. In Alexa, add a webhook as a trigger and a routine to turn off the lamp, and your neighbor just needs to go to this specific url and turn off the light. Simple and fast.
https://trigger.esp8266-server.de/
https://www.amazon.com/Michael-Dworkin-Webhook-Routine-Trigger/dp/B09RGPYHLL
To send manually, all you need is UDP Monitor. More fancy stuff with MacroDroid which has send UDP as an action.
https://play.google.com/store/apps/details?id=com.sandersoft.udpmonitor
https://play.google.com/store/apps/details?id=com.arlosoft.macrodroid
To receive a UDP packet with a message on Windows…
You have to hit the button on the heater to turn it on
Properly programmed Fingerbot/Switchbot will press this button according to a schedule.
If you want to complicate it, you can add a presence sensor to control the bot. The sensor will detect whether someone is in a given area and if not, tell the bot to turn off the device.
Perhaps something similar to SwitchBot Blind Tilt…
Do you mean regular ON/OFF? If so, I’ve already written about something similar… https://reddit.com/r/IOT/comments/17zaapw/easiest_way_to_control_batterypowered_christmas/ka16uej/
However, when it comes to controlling their functions… would need to know exactly what equipment it is and how it works in order to advise.