This is a case where before starting it's more pragmatic to be explicit and proactively ask "I will be using Claude for these assignments because it gives me a productivity increase. Is that ok?" (although there is a risk that merely asking that question will cause them to think you are using AI regardless)

There's still stigma around using AI to make jobs easier, even if it's a net productivity increase. In interviews, it makes the hiring managers internally ask the question "why do we need to pay 6 figures for this senior engineer when they are just prompting Claude like my parents can?"