Ethics of Identity: What is it to choose freely?

What is it to choose freely? This is a question Appiah asks in relation to the topic of ones autonomy. Autonomy in its bare bones, is the belief of ones being as independent, shaped by oneself, and free to think and choose for oneself. However I, as well as Appiah, question this. How is it possible to truly choose anything for oneself if the very thing I call self is a social being, formed and shaped by the experiences I have in a world of context. Is a new, and independent thought even possible to have? Where does one even draw the line between ones own individual self and the communal society we all exist within? These questions directly tie into the politics of liberalism because liberalism places importance on an individual's right to be free. What would a right to be free look like, if our very being is not chosen in free will, but rather formed in a social context. How can we have any right toward freedom of choice if our thoughts are not autonomous in themselves? These are just a few questions that come up for me when reading about these topics.