Is it permissible to return home to awaken one's family for Fajr prayer, and then return to the mosque to attain the reward of Hajj and Umrah, after having already performed the Fajr prayer in congregation at the mosque?

It is permissible to leave the mosque after Fajr prayer to wake up one's family for prayer, but this forfeits the reward mentioned in the Hadith of Hajj and Umrah, because one of the conditions for obtaining this reward is to remain in the prayer area until sunrise, and this is not achieved by leaving the prayer area for any reason.