Not sure if this is what's happening with, you but I have encountered similar situations in which I couldn't seem to pick up certain things (xbox). I accidentally discovered that the "target area" was somehow offset from the object (because my crosshairs were on nothing, yet the text to interact with an object popped up on the screen). You may try putting your crosshairs on the object and then moving out in concentric circles to find the "target area" that will allow you to interact with it.

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