I'm having the same thoughts. It's okay to have a couple of small side projects on the resume (I do), but for showing off real skills you would need a complete product which basically means starting your own business, at least in terms of time and effort
Dont show some vibe coded hobby scripts. Show that you know how to build software AND how software engineering works. So build a small application that that shows you understood some basic architecture principles like oo, seperation of concerns etc.
Then add a CI CD pipeline and Docker Images to show that you also have thought about deployments on production systems.