YOu can change your name with your marriage certificate. Just be careful that you get everything correct and consistent or you will have trouble in the future with social security, motor vehicles, and travel. The adjustment process is more difficult than most people realize and you'd be doing yourself a favor to consult with a lawyer.
Look at the COM. Which name you chose there. This is your legal name. This is the name you HAVE to use.
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The name you want on the card.
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