It does, called “Actions”

https://forgejo.org/docs/latest/user/actions/

Neat! Thanks. I see this is located in the docs between "comment via email" and "message templates". If the devs see this, perhaps adding more buzzwords would be helpful to discovery.

Yes, you need to spin a forgejo runner

they are currently developing Forgejo Actions[0], or you can use the existing Woodpecker[1]

[0] https://forgejo.org/docs/next/user/actions/

[1] https://woodpecker-ci.org/docs/administration/forges/forgejo