Congratulations to your 1361 day streak! Now, your question: If I hear someone saying "Ich war so geboren." then I think he or she talks from the beyond about their past life on earth. But if you are still on earth then you have to say: "Ich bin so geboren." You have to use present tense because by this sentence you describe your current traits.
If you want to describe the event of you birth, then you can say "Ich wurde so geboren." This is passive voice and past tense.