Smothering Mom- what should I do?

First off I wanna say my mother and I have been through alot. So we're really close. But I'm a teenager and I need my space.

I am an only child and she is unmarried and doesn't have any friends she can talk to.

I'll say I've had a long day or week and it's in my personality to need 5-6 hours by myself. She knows this but keeps barging in my room while I'm cooling down and meditating talking to me when i look clearly uninteresting and exhausted.

Then she will get extremely upset when I snap at her for coming in for the 50th time in an hour. I feel like if she knows I truly need alone time or I will have temperament issues why does she insist on coming in and then blaming me for not looking interested or raising my voice a little.

I can never hangout with my friends like other ppl do bcoz she stops and wants to talk to their parent and know who's with me EVERYTIME. I get it she wants me to be safe but in reality I need to make my own mistakes some times or I'll never learn. Parents aren't always around bcoz they have other children, younger children, to worry about, therefore sometimes I have to stay home bcoz they don't have time to talk to my mom every single moment my friends are hanging out.

When I invite them to hang out with ME. my mom gets offended we don't talk to her and include her in the conversation. Ofcourse I will not talk about things to her I would tell my friends. That's the point. Just like she tells me not to barge in grown ups buisness. I know grown ppl have more authority but there is still a line.

I asked to hangout with my friends not my friends AND YOU. we are hanging out with us and our friends NOT US AND THEIR PARENTS.

How should I tell her this in a nice way or get around this. I love her very much and know she is lonely. But I really need my space and it's gets too stressful along with school. (Also I have my own rides and money to do things )

Update: I am grateful she cares enough to make sure I'm safe. But when I need to meditate and take time so my anxiety does not consume me. That time is so valueable.