It would be nice to get IRC notifications about new Discourse topics - on #wikimedia-devtools about topics in the Site feedback category, and on #mediawiki (or maybe #wikimedia-tech?) about the Ask here one.
The official chat plugin does not support IRC (although it's on the roadmap) but supports Matrix and it shouldn't be too hard to wire things together from there.
See WMDSbot for on-wiki documentation and the IRC integration Discourse topic for some more details.