Does taking deductions (either the standard deduction or regular deductions) change the tax bracket that will determine how much taxes we have to pay?

Does taking deductions (either the standard deduction or regular deductions) change the tax bracket that will determine how much someone someone has to pay? For example, in 2021 the 12% tax bracket for a married couple is up to $81,050. Anything over that becomes the 22% tax bracket. Let's say a couple makes $83,000 in one year, which would put them in the 22% tax bracket. Does the standard deduction of $25,100, lower the amount they have to pay taxes on to $57,900? Is that then based on the 12% tax bracket or the 22% tax bracket?