On the response to the mu'adhdhin: Does one send blessings upon the Prophet (peace and blessings be upon him) first, and then respond to the mu'adhdhin?

The questioner:
O Allah, open for us this eager night. In the name of Allah, the Most Gracious, the Most Merciful.

The Shaykh:
So this is a weak hadith, but one says something like it , just as the mu'adhdhin says, "The prayer has begun, the prayer has begun." As for the hadith "May Allah establish it and adorn it," it is weak, but one says what the mu'adhdhin says, "May Allah establish it and adorn it, may He establish it and adorn it," because one says, "The prayer has begun, the prayer has begun," just as the mu'adhdhin says. As for the call to prayer, one says, "There is no power and no strength except with Allah."

The questioner:
The response is to send blessings upon the Prophet first, and then to respond in order.

The Shaykh:
No, one sends blessings upon him (peace and blessings be upon him) after finishing, after he has finished, he sends blessings upon the Prophet (peace and blessings be upon him), and then he says, "O Allah, Lord of this perfect call."