(Opinion) Sorry, but a W-2C is not appropriate, they (the pay agent) won't change it ..and it won't help you if the reason for the EIN being the same, because the same pay agent was used.
I know you can correct the issue when using the "Desktop/Download " software...by using Forms Mode to enter the SS overpayment on the Schedule 3 worksheet.
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Right now I don't recall how to fix the "Same Agent EIN" with the "Online" software.
Perhaps someone else does.
____________*Answers are correct to the best of my knowledge when posted, but should not be considered to be legal or official tax advice.*
