Answer
The IUPAC name of the compound is $3-methylhex-4-yn-3-ol$
Work Step by Step
The compound has 6 carbon atoms in its longest carbon chain containing the triple bond(hexβ). It has a $methyl$β substituent at position 3, a triple bond at position 4, and alcohol group at position 3. So, the IUPAC name of the compound is $3-methylhex-4-yn-3-ol$