even though i have apple care the prices are the same

Service Checklist:

• iPhone service pricing.
• Check AppleCare Coverage.
• Get your iPhone ready for service.

NOTE: AppleCare+ cost = $29

Click ▶︎ Start a Service Request. ⚛️

Need more help?

• Chat now or call 1-800-APLCARE.
• International Support.

Click ▶︎ Check Repair Status. 🔧

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On your iPhone open the Settings app, then tap General

What is shown just under Software Update?

If you have a valid AppleCare+ plan, it would show there.

Also, are you in the country you purchased the phone and AppleCare+ Plan?

I do not know what are you looking and where. See this please. --> iPhone Screen Repair - Apple Support

I checked for iPhone 12 Pro