Question

who supervises and exercise full control over the Panchayati Raj institution in Goa​

Answer 1

panchayati Raj of whole Goa can't be handled by one person

Answer 2

Panchayati Raj of whole Goa is not handled by a single person.

Goa has a great history of institutions of local government since ancient times.

Among with  Daman& Diu, Goa was liberated in 1961 from Portuguese colonial rule.

The President, of India, inducted in  Goa Daman & Diu Village Panchayat Regulation in  1962 under the rule of the Constitution of India.

The said Regulation provided to set up for a single phase  Panchayati Raj system in the Union Territory of Goa.