Must I make up for the day on which I broke my fast, thinking that the Maghrib Adhan I heard was through a phone application, then it became clear that it was a real Adhan, bearing in mind that the sun was not visible at the time of breaking the fast?

If you break your fast believing the sun has set, then it becomes clear it has not, there is a difference of opinion regarding the invalidity of your fast. The view that it is not invalidated is the choice of Ibn Taymiyyah and Ibn al-Qayyim, and it is strong in its evidence. If you have not completed the two months of fasting, it is more cautious to fast two days after their completion to maintain the continuity of the fast. If this opportunity has passed, there is no harm in adopting the view of those who do not consider the fast invalid in this situation, as it is a sound and strong opinion in its evidence.