The right to private property is also the core foundation of being able to own property of any kind without being (a) the king or (b) granted a title of nobility by the king.
The distinction between personal and private property arose a few hundred years later.
You’re missing the part of the definition of liberalism that upholds the right to private property, which is the core foundation of capitalism.
There are other ideologies that uphold the right to control your own life that don’t also uphold private property, such as socialism.
The right to private property is also the core foundation of being able to own property of any kind without being (a) the king or (b) granted a title of nobility by the king.
The distinction between personal and private property arose a few hundred years later.