Perform a ping from VM to another node in the cluster

I'm thinking, that without a gateway (on the 10.10.10.XXX NIC) Proxmox isn't addressing any outgoing traffic on that NW.

What is the output from PVE Host node1 to PVE Host node2:
traceroute 10.10.10.12 (from 10.10.10.11)
 
I created a virtual network and only want the devices in the network such as vms and hosts to talk to each other so there is no need for a gateway.
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As gfngfn256 pointed out, I also think the issue lies somewhere within the VM, if the traffic doesn't even show up on the host bridge. Have you checked whether there is any iptables / nftables output?

Code:
iptables -L
nft list ruleset
 
I also think the issue lies somewhere within the VM, if the traffic doesn't even show up on the host bridge.

can you verify this? Start tcpdump:

Code:
sudo tcpdump -envi tap100i0 icmp

Then ping
 
can you verify this? Start tcpdump:

Code:
sudo tcpdump -envi tap100i0 icmp

Then ping
No results returned
but then I created Simple Zone With SNAT and DHCP and I used subnet 10.10.10.x/24 so I could ping out and ping other hosts, this is the result when I changed the vm's network without using vmbr Also using vnet, what does this mean? I think it's a private network solution. Why can I ping outside and ping the internet? However, another problem is that I can't ping the vms in the host. other have the same vnet
My question is:
Why did I create a simple zone, use this zone and vnet can ping out?
Why can't I ping vm between hosts when I use vm?
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