Is it permissible to listen to religious anthems that include prayers upon the Prophet and seeking forgiveness during the daytime in Ramadan, and does that affect the fast? What is the ruling on experiencing severe fatigue when reciting the Qur’an aloud during the daytime in Ramadan?

It is not a condition for reading the Quran to raise one's voice; rather, it is permissible to lower one's voice while reciting so that the reciter can hear himself, and he will receive the full reward for it. There is no harm in listening to anasheed (Islamic songs/chants) that are free from prohibitions like music, but it is better to occupy oneself with the remembrance of Allah, sending blessings upon the Prophet, and seeking forgiveness. Listening to these anasheed does not affect the validity of the fast.