Based on what you've described, it seems like you exhibit both introverted and extroverted tendencies, which is entirely normal. It's essential to recognize that introversion and extroversion are not black-and-white categories, but rather a spectrum of personality traits.
People often fall somewhere on the introversion-extroversion spectrum, with some individuals leaning more towards introversion, some towards extroversion, and others being more balanced between the two.
Being an introvert doesn't necessarily mean you are always quiet, shy, or avoid social interactions. Similarly, being an extrovert doesn't imply that you're always outgoing and constantly seeking social interactions. Many introverts can enjoy spending time with close friends and be quite outgoing in familiar social settings.
What distinguishes introversion from extroversion is how individuals generally recharge and process information. Introverts tend to feel more energized when they have time alone or in smaller, more intimate settings, while extroverts tend to feel energized when they're around people and in larger social settings.
Given your description, you could be what is often referred to as an "ambivert," someone who exhibits qualities of both introversion and extroversion. Ambiverts can enjoy and adapt to both social and solitary situations, finding balance and comfort in a variety of social contexts.
Remember that personality traits can be fluid and can change based on the situation or life experiences. It's entirely normal to experience both introverted and extroverted tendencies depending on the circumstances, and there's no right or wrong way to be. Embrace and celebrate the aspects of your personality that make you unique.