Field is saturated and you will seriously struggle to find work. Not gate keeping, just laying out the reality. If you're up for the challenge then good, if not then you should look at some other fields.
Product design is kind of weird now and is tougher than you think. It is no more a creative field where you can come up with unique ideas or have fun creating stuff. It is intoxicating, tedious and requires constant fighting with the stakeholders, listening to your micro managers and implementing stuff they "ordered" you to do disguised as feedback. Did I say, it is mostly copy work nowadays and portraying it as a whole new feature/design that is unique to your org/team?
It’s 1% creativity, 99% stroking the ego of your managers and bosses just so you don't get laid off.
(Not at capgemini, burner account)