Here is a supplement to your common sense response.

About Your Vaccine Card

It is not recommended to laminate your vaccination card. If your vaccine information is recorded on the card using a printed label, laminating the card could burn the label, making it impossible to read. Also, as the research on COVID immunity becomes clearer, you may require a booster shot in the future, which will need to be recorded on the card. The best way to protect your vaccine card is by keeping it in a secure location. The CDC also recommends that you make a backup copy by taking a photo of the card.

Do not carry your vaccine card with you. Instead, keep your vaccine card in a secure location. Use your smartphone to take a picture of your card so that you always have a record of it with you.

Protect yourself from scammers. There has been a lot of misinformation spread about COVID-19 and the vaccines, leaving the door open for scammers to take advantage of vulnerable people. Be aware when receiving any unexpected phone calls, e-mails or text messages. Do not click on links from unknown senders, answer questions about your personal medical history or provide financial information.
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This is sage advice instead of the errant wanderings of some that post because they think that quantity matters.