No, you didn’t. You installed Home Assistant from the app store. HAOS, as I wrote above, would be either in a VM or on standalone hardware.
Really, the simplest thing for you to do would be to install HAOS in a VM under TrueNAS. That will include the Supervisor function, you can pass through USB and/or PCIe devices to it, etc. I’m not a huge fan of TrueNAS’ virtualization features, but if you don’t otherwise have a need for a hypervisor, TrueNAS is adequate for this purpose. A few threads that would be relevant to this: