Step 1: Determining the parent structure.
The core ring is cyclohexene bearing a ketone group at position 1.
Step 2: Ring numbering priority.
Number the ring to assign the carbonyl carbon the lowest possible locant (1).
Step 3: Substituent positions.
Bromine is attached at carbon 2, and the ethyl group is at carbon 3.
Step 4: Assembling the full name.
Combining substituents with the parent yields: 2-Bromo-3-ethyl cyclohex-2-en-1-one.
Step 5: Final conclusion.
Option (3) is correct.