Hi there,
Before you create your Remote Desktop session, click on "Show options". Under the "Local Resources" tab there is a "Local devices and resources" panel. Click the "More" button. Click on "Smart Cards". You can't use the locally plugged smartcard of the server you RDP into, as your session is redirected to the client then only the client's smartcard is accessible in the RDP session. Microsoft made it like this for security reasons.
As a part of the Common Criteria compliance, the RDC client must be configurable to use Credential Manager to acquire and save the user's password or smart card PIN. https://learn.microsoft.com/en-us/windows/security/identity-protection/smart-cards/smart-card-and-remote-desktop-services
Hope this resolves your Query!!
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