After entering the fhs environment shell provided by
$ nix develop --no-write-lock-file github:nix-community/nix-environments#xilinx-vitis
or
$ nix-shell https://github.com/nix-community/nix-environments/archive/master.tar.gz -A xilinx-vitis
one can run the web installer downloaded from the xilinx website.
Preferably install Vivitis to /opt
as the shell here sources from
/opt/xilinx/Vitis/*/settings64.sh
once vivitis is installed.
After installation close fhs environment shell, open a new one
and try to run vivitis.