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I've heard this что за ... before (not sure where .. maybe бумер :) ).

How is it different to какой / какая ?

Like "какое несчастья!" hmm think I heard that in служебный роман :)

In English...

You must be right there Kamion, except that, as I understand it, the personal pronoun is omitted entirely in cases like this where it is not needed.
Having said that, I don't know what would be the...