This is also connecting successfully.
This line
Jul 07 22:16:10 osmc-Mortimer ovpn-client[298]: PUSH: Received control message: 'PUSH_REPLY,dhcp-option DNS 162.252.172.57,dhcp-option DNS 149.154.159.92,redirect-gateway def1,sndbuf 524288,rcvbuf 524288,explicit-exit-notify,block-outside-dns,route-gateway 10.8.8.1,topology subnet,ping 60,ping-restart 180,ifconfig 10.8.8.2 255.255.255.0,peer-id 0,cipher AES-256-GCM'
contains the directive block-outside-dns as well as dhcp-option DNS 162.252.172.57,dhcp-option DNS 149.154.159.92.
If you can ping 8.8.8.8, I’m guessing that this is blocking your DNS somehow. Unfortunately, I’m out of time for today. If @Tom_Doyle is still around, perhaps he can help with the installation/configuration of resolvconf or openresolv – or it’ll have to wait until tomorrow.