In Australia, under the Inclosed Lands Protection Act 1901 such as a business or general private property, the owner and/or employees have a right to ask you to leave the area and/or refuse service at any time but what is the law in America that allows a business owner or even employees for example in a hospitality venue to refuse service for any given reason except those that don't inflict discrimination or ask someone to leave that business?

I'm just looking at all these mask freakouts on Youtube and as funny as they are, it seems that majority of the people who don't want to wear one (couldn't care if they wanted to or not) don't seem to understand that employees/manager(s) can ask you to leave the store for any reason dictating that of abuse, unlawful entry or any other reason that doesn't inflict discrimination based on categories

So what's the law for the U.S to ask people to **** off out of the store?

It depends on your political beliefs. If you're a conservative you have to service liberals at all costs. If you're liberal you have right to refuse service to conservatives

You sure about that? Walk into an armory in America and if the owner tells you to get the **** out because you didn't abide by 'store policy', you'd only listen depending on which side you lean?

Unfortunately thats how far this country has sunk. Now you are seeing the erosion of free speech as well just because certain people have conservative views