packmule I'm going to have to agree with bruceha2000 in this case. I originally tried using 5/8" Arrow staples when I built my first temporary pen for the girls. I did manage to get them to hold in the wood framing (regular 2x2s), but the staples pulled out very easily (often on their own, just from the springiness of the hardware cloth). I found that putting several staples close to each other at different angles made them hold better, but there is no way I would consider it permanent. It was just to keep the girls from wandering off during the day, not to protect them from predators.
I later took apart the pen to build a permanent coop, and I didn't need any tools to get the staples out. They just pulled out like a pin on a bulletin board. You might be using the staples in a different way that works for you, but I could not imagine using them as a permanent racoon-proof fastener.
Is your frame by chance made of hardwood or from old pallets? The staples would probably grip better in this wood. But either way I would strongly encourage you to try doing what bruceha2000 suggests and try to pull the hardware cloth off by hand. I know nobody wants to undo their hard work, but I promise that if you can get it apart without any tools, the racoons can too. A friend of mine lost his flock recently when a baby raccoon found his way in through a 4" square hole. I'm not willing to risk that personally.
my frame is made from 2x4s with a couple areas using 2x6. all re purposed wood but in good shape. the hardware cloth is attached with staples on the inside in most areas in 2 rows, alternating. there is no pulling them out from the outside, only pushing. no raccoon is pushing their way inside no matter how hungry they are. the only way theyre getting inside is if they chew through it, or if they happen to have a tiny tin snips and a lot of dexterity. ive pressed very hard on the outside of the coop and the cloth aint moving. im 6'5" and 230 lbs. and i tested it and no 5 lb raccoon is going to get this stuff off of there. i have poultry staples. i didnt use them when i put this coop together because it was overkill and i didnt need them. are they stronger? sure. but my decision saved me quite a bit of time and a little frustration because while i have good aim, it diminishes when youre as big as me hunched down inside a chicken coop. again, it seems the consensus is to use poultry staples and i withdraw from the discussion on that at this point because im all for people doing what they feel works best for them. i just wanted to bring up another possible option and it seems silly to argue about it.