There is no functional difference between a tax break and a subsidy. And everything is private property only if a sovereign authority says it is. Much of it is not even remotely justifiable even by the most generous Lockean assumptions. But it remains private property because an entity with the power to do so has deemed it so.
> Private property proceeds the existence of the modern state.
Stop intimating that private and personal property are the same. Private property is enforcable only by coordinated violence. Its manifestations in the past (serfdom, slavery etc) have been universally agreed to be negative.
> Both s public and private property proceed modern states, and can have their origin in customary law as much as legal statutes.
You're still conflating personal and private property here.