What was the name given to a Sufi who claimed proximity to Allah, acquiring his grace to perform miracles?

Wali

The correct answer is Option 2 - Wali

Wali (plural Auliya) or a friend of God was a Sufi who claimed proximity to Allah, acquiring His grace to perform miracles.

By the eleventh century, Sufism evolved into a well-developed movement with a body of literature on Quranic studies and sufi practices. Institutionally, the sufis began to organise communities around the hospice or khanqah (Persian) controlled by a teaching master known as shaikh (in Arabic), pir or murshid (in Persian). He enrolled disciples (murids) and appointed a successor (khalifa). He established rules for spiritual conduct and interaction between inmates as well as between laypersons and the master.