Is it permissible to bring forth a new intention during prayer, legally combining two or more intentions, such as the Duha prayer with the salutation of the mosque?

Intention (niyyah (definition)) is a pillar of prayer, and its time is at the beginning of the act of worship. The general rule is for it to be simultaneous with the takbirat al-ihram (definition) (the opening takbir), though it is permissible for it to precede it by a short time. Therefore, if a worshiper intends a specific prayer, such as Duha prayer, at the time of takbirat al-ihram, it is not sufficient for him to combine with it the intention of "Tahiyyat al-Masjid" (greeting the mosque) or "Sunnat al-Wudu'" (prayer after ablution) during the prayer. However, if he intends all these prayers at the time of the takbir, then he will achieve them.