How do I install Macos big sur 13

The latest version of macOS is Big Sur version 11.5

There is no version 13 or 14.

To install the current version, click on the following and read instructions there: How to upgrade to macOS Big Sur - Apple Support

Big Sur is macOS 11, not macOS 13.

To install it, see instructions in. How to upgrade to macOS Big Sur - Apple Support

Also:

The model year of a MacBook Pro is available at Apple menu > About This Mac.

A mid-2010 through late-2011 MacBook Pro can be upgraded to High Sierra 10.13.6 but no later version.

A mid-2012 through early-2013 MacBook Pro can be upgraded to Catalina 10.15.7. See: https://support.apple.com/en-us/HT211683

A late-2013 or later can be upgraded to the current version of Big Sur. See: https://support.apple.com/en-us/HT201475