"Forever" is a semantic concept. The universe itself will not go on "forever".
Not to mention, bacteria (for instance) reproduce at the rate of once an hour or, or even less--and yet, even with the log law, there are not an "infinite" number of bacteria, any more than there are an "infinite" number of stars.
Once again: Really, really, really, really, really, really, really, really, really, really, really, really, really, really, really, really, really, really, really, really, really, really, really, really, really, really, really, really, really, really, really, really, really, really, really, really, really, really, really, really, really, really, really, really, really, really, really, really, really, really, really, really, really, really, really, really, really, really, really, really, really, really, really, really, really, really, really big numbers are not "infinite" numbers.
And clones do not share a "self",any more than twins do.
And what has any of this to do with "immortality"?