Symptoms:
websso.js:928
POST https://VCENTER_FQDN:3128/websso/SAML2/SSOCAC/vsphere.local?SAMLRequest=z....................net::ERR_TIMED_OUT
This is due to TCP port 3128 or the associated plugin n the browser being blocked in the environment through GPO, firewall or another security mechanism.
Allow TCP 3128 and the websso.js plugin to be permitted to the workstation and browser logging into vCenter via smartcard.
This is per VMware Ports and Protocols for Smart Card Mutual Authentication.