What is the ruling on performing the Duha supererogatory prayer in another mosque in the same village to obtain its full reward?

An encouragement to pray Duha in the mosque has been reported. Abd Allah ibn Amr narrated that the Prophet (peace be upon him) said: "Whoever performs ablution and then goes to the mosque for the Duha prayer, he is closer to his goal, gains more spoils, and returns sooner." And Abu Umama narrated that the Prophet (peace be upon him) said: "Whoever goes out for the Duha prayer, with no intention other than it, his reward is like that of one who performs 'Umrah." Scholars have differed as to whether it is better to perform it at home or in the mosque. Shams al-Haqq said: "The Sunnah for Duha is to perform it in the mosque, and it is among the exceptions to the Hadith 'The best prayer of a person is in his home, except for the obligatory prayers.'" And whoever wishes to perform Duha in the mosque hoping for reward is upon goodness, and this reward is attained by anyone who goes to any mosque intending the Duha prayer.