The math looks correct, but....
Temperature will probably be an issue for you, 38 degrees is the ideal temperature. for every degree above 38, internal keg pressure (domestic fizzies) goes up about 1/2 psi due to CO2 expanding. To compensate for 7 degrees (3.5 psi) would put you above 18 psi and into over carbonation land. Drop the temp and let the beer warm in the glass or shorten the 3/16 choker a foot.
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