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Right, so you would have to include an empty link to Bridgy's twitter publish URL somewhere in your h-entry. Then you need to send a webmention to that URL (unless it's automatic).
Falcon | Master of Muppets 🍥 on Twitter
“@desmondrivet @eleven_ty ohh, maybe this is different because I'm not using Bridgy to publish the tweet, but instead, I post it myself?”