What part of Gmail is open?
The social media ecosystems aren't like that. You can't be a chat provider and plug into FB Messenger; you can't plug into Twitter, etc.
There is an open social media eco-system called the fediverse (for its federated nature), in which Mastodon is the best-known player. But it's gotten very limited traction, because of the network effect that keeps people on FB and Twitter. No such effect keeps people on Gmail.