The OpenAI image endpoint defaults to a .jpg output path, but the shared
output-path helper treated every non-PNG image path as a directory, so JPEG and
WebP requests were written somewhere other than where the endpoint read them.
Recognized PNG/JPEG/WebP extensions are now preserved, and existing directories
are checked first so a directory named e.g. renders.jpg still receives its
output inside it. Collision handling and filename sanitization are unchanged.