Strut repairable?

I have a lot of movement in my hub when grabbing the bottom and top of my tire lots of movement side to side which is due to a bad tie rod end. I have located what I believe is part of the cause or the whole cause (don’t know how to tell if the inside of the strut is wore out) but what I have found that is moving is in the picture. Can that piece be replaced and if so what is it called? Or do I need to replace the strut?

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