The information detailed in the question's last update gave me an insight of where the problem lay.

I had dhcpcd.service enabled for all interfaces. I tried disabling it and enabling only for enp10s0, and it worked.

So:

systemctl disable dhcpcd
systemctl enable dhcpcd@enp10s0

and voila.

The information detailed in the question's latest update gave me an insight of where the problem resided.

I had dhcpcd.service enabled for all interfaces. I tried disabling it and enabling only for enp10s0, and it worked.

So:

systemctl disable dhcpcd
systemctl enable dhcpcd@enp10s0

and voila.