Nuxt/Img not compatible with the nitro firebase preset

Environment

Node 20.5.1 or node 18, same issue.
Nitro 2.7.2, also same issue in previous versions.

Reproduction

Follow official documentation
https://nitro.unjs.io/deploy/providers/firebase

deploy a nuxt 3 app using Nuxt/Img

Describe the bug

Following the official docs for deploying a Nuxt application to firebase is not compatible with Nuxt/Img

https://nitro.unjs.io/deploy/providers/firebase

No images are visible and the console shows 404 error.

Additional context

firebase.json settings

  "functions": [
    {
      "source": ".output/server",
      "runtime": "nodejs20",
      "codebase": "default",
      "ignore": [".git", "firebase-debug.log", "firebase-debug.*.log"]
    }
  ],
  "hosting": [
    {
      "site": "geoquestr",
      "public": ".output/public",
      "cleanUrls": true,
      "rewrites": [{ "source": "**", "function": "server" }]
    }
  ],

It was the same issue with nuxt 3.7 and previous nuxt/img release candidates.

same issue when using node 18 environment.

Logs

GET https://geoquestr.com/_ipx/q_75&blur_5&s_50x25/posts/geoquestr-release.png 404 (Not Found)

Reproduce the deployment using the Nitro Firebase documentation, the shown firebase.json configuration, and Nuxt/Img, then inspect the generated .output/server and .output/public behavior for the logged /_ipx request. Done means Nuxt/Img images load successfully after Firebase deployment without the reported 404.