Final 941- Early W-2's and W-3?

I realized I should have started my own thread after replying to a solved question. I'm in the process of closing my business this year and need to file a final 941. I only had 2 employees and they were let go at the end of Q1. I've been using a payroll service that isn't willing to mark this form as final, so I'll need to do it manually. I noticed that the IRS says "You should provide Forms W-2 to your employees by the due date of your final Form 941 or Form 944. Generally, you furnish copies B, C and 2 to the employees. You file Form W-3, Transmittal of Income and Tax Statements to transmit Copy A to the Social Security Administration."

Is this correct? My payroll company said they'll file the w-2's and w-3 at the typical due date at the end of the year but can't file them early. What's the actual requirement? Should I find a CPA that can file those for me? Thanks in advance!

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