Does a fasting person break their fast if vomiting overcomes them during ruqyah, and they then intentionally vomit to expel the magic, and does this entail making up the fast or offering expiation?

A fasting person breaks their fast if they vomit intentionally, and they must make up for that day, based on the Prophet's (peace be upon him) saying: "Whoever is overcome by vomit does not have to make up the fast, but whoever induces vomit must make up the fast." However, if they vomit unintentionally, their fast is not broken.