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Your analysis and explanation of your opinion is excellent. When described that way it is hard to see how anyone could argue this stance. If we approve euthanasia because someone claims they are suffering, we have to include those who claim to suffer from mental health conditions like depression and anxiety. But, are they stable enough to make such a choice? And if we exclude mental health suffering from the euthanasia option, that means wer are defining and putting parameters on suffering, which as you said is subjective like a pain scale rating.
