Step 1: Alternate route: state-to-coast mapping:
Match each port's state to a coastline: Tamil Nadu → east; Andhra Pradesh → east; West Bengal → east; Goa → west.
Step 2: Only one state is on the west coast:
Only Goa (Marmagao) sits on India's western seaboard; the other three states all front the Bay of Bengal.
Step 3: Final Answer:
\[ \boxed{\text{Marmagao port}} \]