"I've often wondered, what's the point of reincarnation? What good does it do you to have lived previous lives if you can't remember them? Of what value is this life if nothing learned here can be applied to future existences?
...
It just doesn't make sense."

Why does it have to be something you like or something that makes sense?
I think most who believe in it think of as a doom, and escaping from it is the "ultimate goal".

I don't believe in reincarnation any more than I believe in God. But I do know that humans have long believed in reincarnation. That it was a widespread belief that has been with humans for thousands probably tens of thousands of years. That it predates the existence of the great modern religions. It's only in the "modern" west that we have questioned and denied such belief. But there is no logic, there is no science that disproves reincarnation or God. The West which other than having some kind of bias against tradition has apparently dismissed it on that basis alone.

Now, if the soul/spirit/being does not existent, if you are only a "fancy" biological machine. This machine obviously stops at some point- it dies. Now you can claim that a person ends with that death, but the more important question is did that person ever actually exist?
Most people who hold the idea that human are some sort of machines also say that your existence is an illusion- that the machine functions in a manner that fools itself into "thinking" that it exists. So if "you" didn't ever actually exist, how could "you" possibly stop existing.
If a child draws a picture with crayon and labels the picture "ER" does ER the illusion/picture "care" if picture is destroyed? Did ER the picture "know" or "imagine" it actually existed- if it did, it might care, if not, it's some paper and some colored wax that some kid made.

So, crayon pictures, computer programs, or humans who for whatever reason and means can express in some manner their belief/thinking process that they exist, that in my book that means they have a soul/spirit/being- they are more than paper and wax, silicone chips, or a assortment of carbon compounds.
Now, maybe in some world without mirrors, it's inhabitants are "souless". Maybe a dog unable to realize that it's his reflection in the mirror, is soulless. Maybe all that's needed for a computer to have a soul is for the computer to "talk" to another computer and with enough dialog it can come to conclusion that it exists- that it's "thinking" is separate from that other thing which is "thinking". Maybe there is more to it, maybe there is less to it. BUT even if a computer programmer could make a computer that had a soul, it *still* doesn't resolve the issue.