Hi blindremi, thanks for posting an event question.
There could be many reasons why you owed a balance due when filing past tax returns, such as other income aside from your W-2 wage income.
Recommend that you work through and submit a new W-4 for 2023 to your employer.
https://www.irs.gov/pub/irs-pdf/fw4.pdf
As you can see, the newly designed W-4 has more criteria than a "claim 0" dependent option.
Since this is close to the end of 2023, you can consider Step 4 (c) Extra withholding to catch up tax payment to be in line with estimated tax liability.
Two more links for your information.
W-4 Calculator 2023 (TurboTax)
https://turbotax.intuit.com/tax-tools/calculators/w4/
IRS Tax Withholding Estimator
https://www.irs.gov/individuals/tax-withholding-estimator
Hope the above helps. Thank you.
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