Mast
No. The core lexical origin is Persian (مست, mast) and it entered Sindhi/Urdu Sufi vocabulary; it is not an original Classical Arabic given-name root.
In regional practice it appears both as an honorific/epithet for mystics and as a devotional personal name, though it remains rare compared with mainstream Arabic names.
No. The term as a Sufi epithet does not appear as a proper name in the Quran.
Sindhi and broader Persianate Sufi cultural zones (Sindh, southern Punjab and adjacent regions) historically used this epithet.
It functions as an epithet and can be used across genders in devotional contexts; listed here as Unisex.