The last item is really important to show the management. We vibecoded a ticket cataloguing script to show that infinite speedup in codegen will bring only x% speedup overall
As for tech debt, it has 2 components: figuring out what to do, and actually doing it. I've often found that sometimes there's no time because the proper fix would need weeks of work. LLM have helped reduce that to a few days of work, including reviewing the PRs.
If your colleagues are low tech, I really feel for you. This will make them feel really productive but essentially pile on shit