If you want your Mastodon account to be private, you need to do two things:

1. Set your default posting visibility to "followers-only", more info on this at fedi.tips/who-can-see-my-posts

2. Switch on requiring approval for followers, so that no one can follow you without permission. More about this at fedi.tips/restricting-who-can-

This doesn't apply retrospectively, any public posts you've already made will remain public. This just sets the default visibility for new posts.

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If you have a fediverse account, you can quote this note from your own instance. Search https://social.growyourown.services/users/FediTips/statuses/116036832700449497 on your instance and quote it. (Note that quoting is not supported in Mastodon.)