You'll have to either use a ripkit to take out some data from the game (see Google), or get a dual-layer burner and copy the game to a DVD+DL (Dual Layer DVD+R disc)
Either way, you'll need a chip in that PS2, and if you're going to try the +DL route, you'll need a dual layer burner, and PS2 above V4 with a strong laser to read it - no disc read errors and no browser screen popping up before boot. (see Google for a PS2 Version check tutorial).
Good luck
