It is working now. It is just the MAC. When I use a Windows and use AllowedIPs = 0.0.0.0/0 it is working now: both full tunnel and split tunnel.
However, in my case (BTW-I found the backup and note), for some reasons, in the NAT Outbound, I use the LAN and not WAN as the Outgoing then everything is working as I expected. Strange but it is WG and experimental package.