You should try that situation on TurboTax. You should find that the first chunk of your capital gains may be taxed at 0% but the amount over the 0% bracket limit (in 2022 about 41k if single or 83k married) will be taxed at 15%.
TTAX 2022 gives a tax of about $6544 for a single person, standard deduction and $100,000 long term capital gain:
(100,000 - 14700 - 41625) * .15
This should be a little lower in 2023 with increases in the standard deduction and the 0% bracket.
(TTAX 2023 doesn't do stock sales yet (Dec 23) so I've used TTAX 2022 here)
