Yes, you're right. Surprisingly your capital loss carryover is reduced by the amount of capital loss that was actually used to reduce your taxable income, not by the amount of capital loss deduction shown on your tax return. The $3,000 deduction will be posted to your return.
You’re allowed to use all other deductions before using the capital loss deduction. This rule is reflected in a Capital Loss Carryover Worksheet that appears in the instructions for Schedule D and also in
IRS Publication 550
it is listed in the contents under Capital loss carryover.
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