Can I sign with two Code Signing certs to build reputation on the newer one?

I recently acquired a Microsoft Authenticode Code-signing certificate as a renewal of another one which will expire soon.

Obviously, the new certificate has no reputation attached to it, and will take some time and installs in order to be fully trusted.

My question is: If I sign an executable with both certificates, will the new one start building reputation?

I have already verified that the installer is trusted when it has both signatures.