It seems the difference between you and your siblings is clear - at least to me. They have detached and hold her at arms length, she is powerless in some ways as they don’t allow her in.
With you, because you are seeking a real and meaningful relationship mother/child relationship, desperate for her love and to feel nurtured and hope it will one day happen - you are still vulnerable to her manipulation and abuse. It’s your love for her that compromises your well being, which feels very unfair.
The more you love her and reach for her, the more power is handed to her. She can withdraw, play with or simply abandon you at any time. That’s an enormous amount of power.
The pathway for some people is literally the loss of hope, the acceptance that she is the way she is and won’t magically change into a kind and loving mother, and some true healing for that little girl inside of you that longs so much for a real
mother to love you, take care of you and protect you.
At some point, it might be possible to see that your mother isn’t capable of mothering or loving others normally, she isn’t withholding from you, she just can’t offer that. And never will be able to.
Although she plays the victim card well, and is quick to capitalise on your genuine feelings and play them to the crowd by labelling you the problem, she can’t feel very much at all, and has no real connection at all with others.
It’s sad and miserable, and I imagine lonely to never feel a deep sense of love, and to never experience others fully.
You are the normal one, she is damaged and will never gain the self awareness required to examine what is going wrong, and why she is unable to form proper relationships. You don’t have to feel sorry for her, but you can see she is not exactly in a position of strength, she manipulates because she doesn’t know how else to relate or get her need met.
Be glad for all of your feelings, including the angry ones, and the love you can feel in your own heart.