Circumstellar Habitable Zone of an Orange Dwarf

I want to create a system orbiting an Orange Dwarf star, approximately 0.5 Mâ˜‰.

I've a 5-planet system, one of which needs to be within the habitable zone of this star; this planet will be 2 MâŠ•

I know the formula for this is $\sqrt{\frac{1}{2}}$, but I'm unsure where exactly that would place my habitable planet and whether or not this means my habitable planet would be tidally locked.

So my question is thus; "Please calculate the habitable zone for my system above and let me know if the habitable planet would be tidally locked."

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Circumstellar Habitable Zone of an Orange Dwarf

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