Support exception tagging

Support exception tagging for HTTP results response to enable clients to parse exceptions more reliably. Resolves #75175. The setting http_write_exception_in_output_format is disabled by default for consistency across formats. #88818 (Kaviraj Kanagaraj). Although it's not supposed to break any existing behavior (in the worst case, a weird string will be added to exception message), it still makes sense to use "Backward Incompatible Change" as the changelog category just for awareness (because who knows how some trash-scripts may parse the exception message).