Liberalism is a capitalist ideology that promotes private ownership of the means of production

Absolutely false. It espouses private ownership. This can mean your own clothes, your own phone, your own computer, your own house, your own sentimental belongings, instead of everything being communally shared.

It is possible for the means of production, like factories, to be communally owned, while still allowing for small personal private ownership. You can strike a balance between liberalism and private ownership, and communism and communal ownership.

It’s not a black and white binary choices between “everything is private” and “everything is communal”.