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maya2025:How to go about holding the corners of this model and avoid pinching?

I have been trying to model a revolver for some time now, and while I have learnt quite a lot with regards to Maya, etc etc, I am still stuck on the project, specifically on modelling the revolvers chamber. Its not like I have nothing to go off on, I have taken Elementzas modelling masterclass, as well as his topology class. I am struggling to apply his theories on a completely unrelated model

I have modelled the chamber in a simply polygonal form, trying to keep the polycount as low as possible (apparently its easier to work with few polygons). As it is, when I smooth preview it, the objects turns into mush, this is to be expected since I have no support edges for the corners.

I have added my support edges, the corners of the form hold but I am getting pinching as well.

I should say, I am not concerned with the bottoms and top of the chamber (cylinder), I know I can solve that easily with a bevel or an edge loop. I am mostly concerned with holding the corners of the small concave detail.

Above all I would really appreciate if someone could show me how they would model just the chamber, this is the image for it, so I can actually see how the topology could be approached. Thank you.

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