Dear community,
We've manually installed Cisco AMP 1.14.1.807 on OS X Big Sur and approved required System Extensions according to advisory: https://www.cisco.com/c/en/us/support/docs/security/amp-endpoints/216089-advisory-for-amp-for-endpoints-mac-conne.html
Here is the output of
%systemextensionsctl list
4 extension(s)
--- com.apple.system_extension.network_extension
enabled active teamID bundleID (version) name [state]
* * DE8Y96K9QP com.cisco.endpoint.svc.networkextension (1.14.1/807) AMP Network Extension [activated enabled]
--- com.apple.system_extension.endpoint_security
enabled active teamID bundleID (version) name [state]
* * DE8Y96K9QP com.cisco.endpoint.svc.securityextension (1.14.1/807) AMP Security Extension [activated enabled]
Network Filter is also enabled and Active:

And once Cisco AMP installed and everything is approved the native Mail client could not connect to the server.

We've also tried Jamf MDM to deploy the AMP connector but result the same - native Mail client stopped working properly.