Thank you all for your comments.
I like the zero-issue option. Currently, my system is not so widely spread that I cannot control something without HA integration, but as soon as I add window blinds and the boiler to the setup stability will be paramount.
@k8gg I want to learn Proxmox, Traefik, and some other tools too. Thank you for the valuable resources, but I will go the route of dedicated hardware for HAOS and at some later moment another unit with Proxmox and all the other appliances, like torrents, media streaming, and network helpers, (maybe even a HAOS backup server) on that other unit. That unit might also be a bit more capable than the one that will run HAOS and it will help reduce electricity consumption because all the VMs and Docker are currently running on my main PC.