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The Coil:WaterHeating:AirToWaterHeatPump:Pumped
represents a heat pump water heater so the likely information found in manufacturers literature would be for heating water. For this reason, the input of capacity for this object is total water heating capacity. The cooling coil used in the HPWH absorbs heat from ambient and is calculated as you describe, Total cooling = Heating power CC - Electrical power PI.
"Possible fixes are to reduce the rated total cooling capacity, increase the rated air volume flow rate, or reduce the rated sensible heat ratio for this coil."
For this coil, the easiest thing to do is lower the SHR without changing other inputs (although this might not represent the manufacturers product). To reduce the total cooling capacity you would lower the total heating rate or increase the power (lower the COP), or both.