That's good enough for me. That I'm not aware of my clones existence doesn't really change anything for me. We're (me and my clone) are both just meat robots doing our thing so even if we're not aware of one another we would be the same in the way that two identical rocks are the same.
I guess that "be" is the wrong term here. Once that clone is created were two separate objects, just identical and both without a soul described fully as the sum of our parts.