It's not uncommon for individuals to exhibit different behaviors or characteristics depending on the context or the people they are with. In your case, if you generally feel more introverted when you are not with friends but become more extroverted and outgoing when you are spending time with them, you can still be considered an introvert.
Being an introvert doesn't mean you can't enjoy socializing or being with friends. Introverts can have strong social skills and enjoy spending time with people they feel comfortable and close to. The key distinction lies in how you recharge and where you draw your energy from. Introverts typically need alone time to recharge and find social interactions draining after a while, even if they enjoy them in moderation.
So, if you identify with the traits of introversion (e.g., needing alone time, feeling overwhelmed in large social gatherings, preferring deep one-on-one conversations), but also enjoy being extroverted and outgoing with friends, it's perfectly normal. People are complex, and personality traits can be flexible and nuanced. Embrace and celebrate the unique blend of qualities that make you who you are.