I run a website for a movie theater. There should be the address cinema.com/flyer, which should always redirect to the current flyer of the month (flyer_may_2024.pdf, flyer_june_2024.pdf and so on).

Which HTTP status code is the right one to satisfy search engines and caching mechanisms? We have tried 302, but with varying success: some browsers redirected correctly, others redirected to the old destination.

Thanks for your help.