F-Droid is just a front end for repositories so there are a few ways you can list an app on it - mainly by hosting your own repo or contributing to an existing one.
If you go into F-Droid -> Settings -> Repositories you can see what repos are already configured. Most major repos will have a guide for how to contribute, and this is the F-Droid official repo guide.
Important context that the bot misses:
The Times is only explaining that this video is not of the projectile that struck the hospital. They are not claiming to know the source of that one, only analyzing this video to disprove that it supports Israel’s claims.