This is a silly argument. If you fed this program the source code of your own brain and could never see the answer, then it would fool you just the same.
You are assuming that our minds are an algorithmic program which can be implemented with source code, but this just begs the question. I don't believe the human mind can be reduced to this. We can accomplish many non-algorithmic things such as understanding, creativity, loving others, appreciating beauty, experiencing joy or sadness, etc.