It's a spectrum, isn't it? From targeted edits that you approve manually - which I think you can reasonably take credit for - all the way to full blown vibe-coded apps where you're hardly involved in the design process at all.
And then there's this awkward bit in the middle where you're not necessarily reviewing all the code the AI generates, but you're the one driving the architecture, coming up with feature ideas, pushing for refactors from reading the code, etc. This is where I'm at currently and it's tricky, because while I'd never say that I "wrote" the code, I feel I can claim credit for the app as a whole because I was so heavily involved in the process. The end result I feel is similar to what I would've produced by hand, it just happened a lot faster.
(granted, the end result is only 2000 LoC after a few weeks working on and off)
I think LOC and "writing code" are largely irrelevant as metrics of productivity in a world with LLMs that love to churn out overly loquacious code.
I think the right way to explain the work done sounds something like, "I worked with Claude to create an app that does ______. I know it works because ______."