If you try patching the leak, you will always have to worry that it could fail and flood the area. As Ron said, the self tapping connections are a sad way to tap a line. The hole is so small, it easily gets clogged and the next problem is the leaks. Use a coupling to repair the bad spot in the pipe. Cut through the center of the hole (all the way through the pipe) and then install a coupling or, better yet, a tee for the frig water connection.
If you have never made a mistake, you haven't done much.