No, you’re not missing it. Are you on iOS? If so, I had the same problem.
If you are on iOS, here’s a Shortcut you can use to save files out of Airtable into the Files app:
https://www.icloud.com/shortcuts/8860d08a73ff44f1b0c159354634579f
Once you import that into the Shortcuts app, just make sure the “Show in Share Sheet” option is checked:
Then you’ll be able to use the shortcut to save files out of Airtable via the share sheet in iOS: