The emote "│*-ω-)ノβyё* ･゜☆βyё.｡.:*･" is a waving goodbye emoticon typically used in online communication to bid farewell to someone. It does not have any specific meaning beyond its use as a friendly farewell gesture. The "Bye Bye Man" emote, on the other hand, is a reference to a horror movie of the same name and features a creepy-looking figure with the words "Bye Bye Man" written above it. It is often used in a humorous or ironic way to indicate leaving a conversation or situation.