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Would you mind checking the following example and help me understand if I can carryback 30,000 into 2021? TIA!

I started trading futures since 2021 with a 1256 contract net gain in 2021 and a net loss in 2022.

Assume:

2021: section 1256 net gain is 30,000 but total capital Gain or loss is -50,000. Only 3,000 is reported as capital loss and -47,000 is carried forward to 2022

2022: section 1256 net loss is -80,000 and total capital Gain or loss is -200,000. Only 3,000 is reported as capital loss of current year.

check box D for carryback: 2021 is the first year trading so that's the only carryback year.

carryback limit: 30,000? what I'm struggling with is the smaller of section 1256 gain and schedule D line 16 gain as it's a loss of 50,000.