Veeam Plugin does not execute

There is no 32bit agent anymore with 1.6
The problem is the msi file what is used for install package generation.

Your output means that the script is used.
Now i would change the loading statement for the SnapIn to something more like the loading from citrix_farm.ps1.
There is a validation if the SnapIn is available and if it can be loaded.

Or you first insert again some write-host before and after the $tapeJobs = Get-VBRTapeJob.
line.
It is also possible that the write-error inside the catch block is not given to the agent output.
Change the write-error to write-host for a test.