Pull a good bit of the tape out of the cartridge, and slit it near the old splice.
BE VERY CAREFUL NOT TO LET THE TAPE PULL BACK INSIDE THE CARTRIDGE, OTHERWISE YOU'LL HAVE TO USE METHOD TWO TO RELOAD THE CART!!!
Using the tape lead coming from the left side of the cartridge, insert the tape into the splicing block, on top of the new tape and extended past the cutting channel.? I've left the old splice in here to show how the tape from the cartridge is overlayed on top of the tape from the reel.