Hi anonymous user ,
1.According to my research the error information, It does mention that the account you are using has insufficient permissions. Please make sure that the account you use to have the Exchange Server Administrator permissions. You could also create a new account and assign the permission to it. Then try to install with a new account.
2.According to the log you provided, I found the following three lines of error messages. The understanding of this error and the third point in the "Troubleshooting tips" about this security update FAQ. You need to uninstall the previously installed IU or SU before installing this security update again.
For more information you could refer to: FAQ for March 2021 Exchange Server Security Updates
1) Unable to install because a previous Interim Update for Microsoft Exchange Server 2013 Cumulative Update 23 has been installed. Please use Add/Remove Programs to uninstall the Interim Update before running this setup again.
2) Installation cannot continue. The Setup Wizard has determined that this Interim Update is incompatible with the current Microsoft Exchange Server 2013 Cumulative Update 23 configuration.
3) The version of this file is not compatible with the version of Microsoft Exchange Server 2013 Cumulative Update 23 that you're running. Check your computer to see whether you need an x64 (64-bit) or x86 (32-bit) version of this file.
3.Certificate Revocation List (CRL) a list of digital certificates that can check if the current program you are running should to be trusted or not. Microsoft not recommend to disable CRL checking, that would make your device fall into a risk Environment.
In addition, every software has it’s CRL checking ways. Windows has no central switch that would turn off CRL checking for all.
About how to disable the CRL: Certificate Revocation List (CRL) Verification - an Application Choice
In additoin, I noted that there are some error code releated with 1603 in log file. Please try the methods provided in this official troubleshooting article: Error 1603 when you try to install a Windows Installer package: A fatal error occurred during installation
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