Having issues upgrading and installing from scratch but I figured it out and wanted to let you know the problem and workaround.
I was running the previous version and just decided to upgrade it to the latest (installed previously from HPM). I received the same error as described in this post. So I decided to manually upgrade the app code by replacing it with 6.2.0 manually and see what happens. I got an error saying the AWS-Library was not found.
So then I decided to do a new install from scratch incase there was compatibility issues. I uninstalled AWS from HPM and verified all apps and devices were removed. Then proceeded to install AWS again but encountered a package installation issue. No details were provided and the logs didn't really have much details.
I noticed that during install it didn't say that the Library was being installed which it showed in your install screenshot. Also I knew the original error that said AWS-Library was missing when upgrading. So I then proceeded to manually install the Library code. Once the library was manually created (by cut and pasting the code into the library section), I then attempted to install AWS from HPM again and viola, it worked.
I'm assuming there is something wrong with the package manifest (haven't looked into it) in which the library is not getting installed so it fails with a dependency error. I'm running the latest version of Hubitat so not sure if something changed there either which affects how libraries are installed.
During the installation, this is what was displayed (took a screenshot mid install). Note that my screen looked different than yours in which it does not show the Library being installed.
Regardless, thought I would report this and for anyone having upgrade/install issues, this is the workaround for the time being.