I can't carry a firearm (as I'm not american) but I know all of the others and I don't see what any of them have to do with a firearm.

First Aid - Gun is more of a deterrent and if not then the one needing first aid will probably be the criminal so nothing of worth was lost anyway. Things get way messier if you have to knife fight or even fist fight someone.

Put out a fire - I know it's called a "fire"arm but it's not a fucking flamethrower nor does your arm catch on fire when you shoot....maybe if you douse it in gasoline and are using a musket

Stay calm under extreme stress - again the gun is to stop you from getting into positions of extreme stress any close range combat with deadly weapons is a lot more stressful than something involving range, especially when you have the advantage of it and the enemy does not.

But then again I live in a country where firearms are a rarity, what is your friends excuse ?