What is the cost for repairing a logic card

Apple does not repair logic boards. They replace them if available. Please see this Apple article how the age of the computer affects parts and service availability:

Vintage and obsolete products - Apple Support

If your MBP is "vintage" or "obsolete" they will not have parts. You will be looking on the used/pulled market.

Logic board vary a bit, I would say ~$800 USD.

https://support.apple.com/mac/repair/service

Readers here do not speak for Apple, we are all Volunteers.

Apple repairs for logic boards are done by board exchange, the boards are not repaired in the field.

Do get a firm quote, make an Genius Bar appointment at an Apple-owned store, free.

Or visit an Apple Authorized Service provider. But they may charge an Evaluation fee.

Allan Jones wrote:

If your MBP is "vintage" or "obsolete" they will not have parts. You will be looking on the used/pulled market.

Apple recently changed the rules for some "Vintage" products. If Apple still has the necessary part available then the computer may still be repaired by Apple or an AASP. If a computer is "Vintage" it might still be worth contacting Apple or an AASP.