You are correct, the handbook has a formula error, but still the answer is correct.
The reference to formula 5.6 applies to foreign currency forward (hence the two rates, r and r*) and does not apply here ...
Example 5.1 only requires ordinary commodity forward:
Expected[Forward(0)] = Spot(0)*EXP[6% rf + 3% storage carry)*3/12] = $1,022.8 (answer c)
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