In this post I tried to add language hints for syntax formatting to code blocks quoted from the question. However, it seems they won't be honoured if I write them as a comment in my own part of the post, and if I include the hint in the qutotation as well then I have some ugly empty space before the code block. There should be a way to write these things properly.
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Wrapping a codeblock (and only a codeblock) in a blockquote seems, at most, a rare edge case; to be honest I personally find it quite useless. There is however a way to achieve what you want.