The Intention of Fasting During Prayer

Question
If I intended to fast the missed fast during the two rak'ahs before the Fajr adhan, and I made the intention for the missed fast during the prayer; knowing that if I delayed it until I finish the two rak'ahs of Fajr, the Fajr adhan would have been called, does this intention count for me and is it sufficient, or is it not sufficient because I intended and verbalized it during the prayer?
Answer
I say, and with God's help: The intention for fasting during prayer is valid and considered, and it is disliked to verbalize it during prayer, and God knows best.
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