There was nothing on their website to indicate they are closed, but when I viewed their facebook page there is a notice stating they are “Temporarily closed due to the COVID situation”. The notice is dated January 3rd, 2021, so maybe gerefan2's friend has more up-to-date information. See screenshot below:

Babylon.jpg

http://www.babylonbangkok.com/en/accommodations

PS I did not see Moses' post when I posted this message. So two sources saying it is permanently closed.