Neither in Shankara's Advaita nor in Dzogchen is there some kind of "pure mind" ... whether such a value resides within us, extends beyond us or conjoins to us in some mysterious or primordial way.
What we call our "mind" is already a constriction of our fundamental intelligence and of what we are. Such an intelligence does not require anything other than itself to fully realize itself. In Neo-Platonism it is termed henotic noesis. In Advaita it is called brahma-jnana. In Dzogchen it is called rigpa-yeshe. In Chinese Chan... natural great essence/great function. Since duality is not a problem to be solved in these views ... ... ... you can fill in the rest.