This is how I bleed the cooling system on my 2000 GTP after replacing the LIM gaskets. Natually, the following seqeunce was performed last, just before starting the engine
1) Filled cooling system with antifreeze mix, untill the radiator was full to the top, also fiilled overflow container at same time.
2) Started engine and turned heat on to 90 degrees, fan speed was medium.
3) Watched engine warm up, and just when my top hose got warm, I opend the bleeder valve in the thermostate housing, it hissed about 5 sec., and then I closed it, had to add a little more coolant to the radiator, reinstalled radiator cap, continuied to watch engine warm up, when it was warmer, I cracked the bleed valve and a buble came out and then I closed it back up (do not do with engine HOT).
4) That was 1yr and 2 months ago, have not had to touch it since, cooling system functions as it should.
I hope this helps.
There are probably variations of the sequence to bleeding the cooling system that work too, this is just how I did mine.