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no because the capital gain adds to your taxable income and from that the "threshold" is subtracted, to compute the tax on capital gain

not sure what year you're referring to or how you arrived at that standard deduction

anyway using your figures you have $89,500 of taxable income

 from that the threshold (2022) of about $83,500 would be subtracted leaving taxable capital gains of about $6000 taxed at 15% =$900

this also assumes the entire $30K of capital gain is long-term. short term is taxed like other ordinary income

the above numbers are approximate and used for simplicity.