“The right socket” can only be implied one way when talking about a body just like you only have one right hand despite the fact that it is on my left when looking at you.

"Right hand" is practically a bigram that has more meaning, since handedness is such a common topic.

Also context matters, if you're talking to someone you would say "right shoulder" for _their_ right since you know it's an observer with different vantage point. Talking about a scene in a photo "the right shoulder" to me would more often mean right portion of the photo even if it was the person's left shoulder.

I think the fact that anyone in this thread thinks it's ambiguous is proof by definition that it's ambiguous.

"Plug into right power socket"

Same language, opposite meaning because of a particular noun + context.

I think the only thing obvious here is that there is no obvious solution other than adding lots of clarification to your prompt.