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How do I apply an #ActivityPub archive of my posts from one account, and import them as posts on a different account?

The #Mastodon "export" feature (one of the account Preferences) says:

> You can request an archive of your posts and uploaded media. The exported data will be in the ActivityPub format, readable by any compliant software.

Okay, once we have this archive ("in ActivityPub format"), what is the "compliant software" to read it in as posts on my Mastodon account?