The LLC can not be used to offset Self employment tax, only income tax.
With $12,565 of earned income, your standard deduction will reduce your taxable income (and your income tax) to $0.
The fact that you mention adjusting for small business tax, indicates that you have self employment income.
Note, that the self employment tax on line 23 of form 1040 comes after the Schedule 3 credits (on line 20) are applied. Self employment Tax is how the self employed pay their social security and Medicare tax.
