In a worrisome situation
Mind doesn't get calmed.
Mind doesn't get a calm.
Mind doesn't feel a calm.
Mind doesn't feel a relax.
Mind doesn't feel relaxed.
Are these grammatically correct?
All of those are incorrect. g. "my mind".
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All of those are incorrect.
"Mind" needs some kind of determiner, e.g. "my mind".
"a calm" and "a relax" are not correct. "relax" is not a noun. "calm" can be a noun but it does not work in your sentence.
This is possible:
My mind doesn't feel calm/relaxed.
Often we just say:
I don't feel calm/relaxed.
Obviously you can also say: