I have always considered my adoptive mum as my real mum and I always will. My birth mum is exactly that, the mum that gave birth to me.
Mum to me is the person that stayed up all night with me ill as a child, was there for me the first time my heart was broken, was the one that I turned to for advice after I had my daughter, even now, I am 33, I still turn to her and she still wipes my tears and makes me smile.
So I would say you are a real mum in every way
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Good Luck
Auds