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So I guess your previous post is more or less correct - this construction with при is used when one action is a part of the other action, but not when two unconnected actions are just happening at...

It seems to me that this use of при is only used when talking in general terms about an action. I'm not sure you if you can say я получил ожог при работе с электричеством... at least it sounds a bit...

in this context, it would usually be translated as "when/while + gerund." Будьте осторожны при работе с электричеством! - be careful when working with electricity.