Does expelling a piece of food stuck in the throat after spitting it out invalidate the fast during Ramadan?

If the morsel does not reach the inner part of the throat, then spitting it out is obligatory, and swallowing it intentionally breaks the fast. However, if it reaches the inner part, then swallowing it is obligatory, because expelling it is considered an intentional act of vomiting that breaks the fast according to the majority of scholars. Vomiting here means intentionally expelling what is in the stomach. The throat is considered part of the stomach. Intentionally expelling phlegm from the stomach breaks the fast according to some scholars, as it is considered vomiting. The Shafi'is, in the more authoritative opinion, dissented, stating that there is no real need for such an action. So, if what happened was an act of vomiting, then you must make up for the fast, unless you were ignorant that this action breaks the fast, in which case you do not have to make up for it.