Err, no, it IS a perfect copy of you (at the very least in theory). Its purpose is as open as your own. It has no purpose in trying to emulate you- that was Melitus' job when he created it. Its purpose is simply in being a sentient being and whatever purpose you do or do not apply to that. So assuming you are you, the copy is just fine. Your electrical signals are your mind- 'you'. Your brain is currently, as it were, 'empty'. The part of you that is yourself has been broadcast into the Matrix; that has now been locally duplicated.
So as I say, if you accept that you are you in the Matrix- and I am pretty sure you do think that- then a perfect copy of you does not differ in purpose in any way. Even if you are not fully yourself in the Matrix... which would be an interesting thrust... it still wouldn't be relevant because we would then be referring purely to the 'Matrix-you' rather than the 'full-you' as it were. Point is, everything you are in the Matrix, he is also.
There is a difference in your origins which is objectively significant to be sure, but in this scenario it is completely irrelevant. True, you can leave the Matrix- but only because you are being broadcast into it. If HE was being broadcast into it, he could leave it as well, so that is just a situational difference- after all, situation dictates that you cannot leave the Matrix right now either. Change the situation and he could leave also. Machines do not generally have an interest in physical existence but he does not think like a Machine, even assuming a Machine has to think like anything- he thinks like you. It could BE you.
He never will leave the Matrix, of course- well, probably not; the Machines won't let him out and even if he found the Mero and cut a deal to be smuggled out, where would he go? He cannot enter the mainframe or machine city unless he actively changes sides. In theory the rebels could build a body for him but we know that the Rebels don't know anything about this whole Trainman lark so that situation will not occur, even if it wre possible considering all the complications involved, which seems unlikely.
The situation presented is that there is a 50/50 chance you are the AI. Even I do not know which of you is which. Can you definitively give me a reason to say that 'Melitus is wrong- I CANNOT be the AI'?
If not, then debate on the nature of machine existence is futile. Such discussions are interesting but such opinions don't really help you at a point where time is running out.
I cannot help thinking that this kind of talk would have been more helpful from the start, because there are points floating around that I keep seeing as ones that potentially could form part of a submission, but it is difficult to isolate the parts in particular.
Which reminds me... I think I will give this another week.