You do not need to manually install VMware Tools. .
You should be installing open-vm-tools and open-vm-tools-tools-desktop packages provided by Ubuntu from their distribution. Open-vm-tools are recommended by VMware for in-guest tools on Linux. The legacy VMware Tools for Linux are maintained only for older Linux distributions that don’t support open-vm-tools.
The installation status of open-vm-tools is not reflected in the Fusion GUI. That’s because the tools installation are managed by the guest’s package management. And I believe I read somewhere that the option to install VMware Tools is greyed out for VM types that are known to support open-vm-tools