Function run_post_processing_logged 

pub fn run_post_processing_logged(
    xml: &str,
    opts: &PostOptions<'_>,
) -> PostOutcome

Run post-processing while capturing its log into a fresh thread-local LOG_BUFFER. Converter::convert() already flushed the core log into its own response, leaving the buffer unbound — so without re-binding here every post-phase Info!/Warn!/post_error (incl. a silent EPS→PNG failure) reaches stderr only and never the persisted --log/cortex.log. Perl’s single flush_log() after convert_post sweeps up the post log for ALL consumers; this is the Rust equivalent, shared by the latexml_oxide and cortex_worker binaries so their logs reach parity. See SYNC_STATUS task 5.