Add Machine Cert Auth to APM profile

Based in the user agent string, you are using IE11 32bits in a Windows 10 computer. That is compatible, at least with the latest version of the APM.

See this link for the compatibility matrix:

https://support.f5.com/kb/en-us/products/big-ip_apm/manuals/product/apm-clientcompatmatrix-12-1-2.html

Read this solution and check your configuration after:

https://support.f5.com/csp/article/K13614

As far as I remember, you don't have to install anything for this check. Anyway, if you do, the APM would ask you to install that when you connect.

If you have configured the settings correctly, this looks more a problem for the current user to access the certificate. Try to change the "Allow User Account Control right elevation prompts" to yes, if not yet, and use an admin account just to see if works.