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Proxmox host stops responding, LXC continues
(infosec.pub)
Proxmox VE is a complete, open-source server management platform for enterprise virtualization. It tightly integrates the KVM hypervisor and Linux Containers (LXC), software-defined storage and networking functionality, on a single platform. With the integrated web-based user interface you can manage VMs and containers, high availability for clusters, or the integrated disaster recovery tools with ease.
There you go :) I’ve had a Pi running Tailscale and it ws not reachable using its local IP (it was accessible when using Tailscale IP) when Tailscale was started. When I was using Tailscale for site-to-site connectivity (subnet router) I ran it in an LXC container on PVE, so I’d advise you try that. Avoiding installation of additional software on the hypervisor seems like a smart idea - whenever I can I put stuff in containers/VMs.