If you do change the cost basis, make sure to keep detailed records of your calculations that were used for the cost basis that you used instead of what was on Form 1099-B. The IRS may contact you about this at some point.
As you said, the difference is only a few hundred dollars and may not make a difference in your refund or tax liability. Check the tax tables to see if the change would make a difference in the big picture of your tax return.
@gytt
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