### Godot version

v4.1.dev.custom_build [2e273f0e35800f2bcc7c05db54100caa97928f69]

### System information

Windows 11 x64, Vulkan (Forward+), NVIDIA GeForce GTX 1650

### Issue description

Importing EXR files from baking lightmaps will always fail. But the files aren't corrupted and can be opened in other software like Krita.

### Steps to reproduce

Do these in the MRP

1. Find `lm` node in the scene `000.tscn`, And press `Bake Lightmaps`
2. After finished baking, The lightmaps should be rendering normally and several error messages will be printed out. They say :
- Invalid/Corrupted data found when decoding pixels.
- Error loading image: res://000.exr
- Error importing 'res://000.exr'.

3. When trying to reopen `000.tscn`, The lightmaps won't render in the scene anymore.

( Optional )

4. If trying to put the lightmap data `000.lmbake` into the `lm` node. It will spam these out :
- Uniforms were never supplied for set (1) at the time of drawing, which are required by the pipeline
- Texture (binding: 7) is an array of (8) textures, so it should be provided equal number of texture IDs to satisfy it (IDs provided: 7).

Then all the meshes go black immediately.

### Minimal reproduction project

[i_5222a99f5_001.zip](https://github.com/godotengine/godot/files/11629095/i_5222a99f5_001.zip)

}
  unsigned char *mem = NULL;
  size_t mem_size = SaveEXRMultipartImageToMemory(exr_images, exr_headers, num_parts, &mem, err);
  if (mem_size == 0) {
    fclose(fp);
    return TINYEXR_ERROR_SERIALIZATION_FAILED;
  }
  size_t written_size = 0;
  if ((mem_size > 0) && mem) {
    written_size = fwrite(mem, 1, mem_size, fp);
  }
  free(mem);
  fclose(fp);
  if (written_size != mem_size) {
    tinyexr::SetErrorMessage("Cannot write a file", err);
    return TINYEXR_ERROR_CANT_WRITE_FILE;
  }
  return TINYEXR_SUCCESS;
}
int LoadDeepEXR(DeepImage *deep_image, const char *filename, const char **err) {
  if (deep_image == NULL) {
    tinyexr::SetErrorMessage("Invalid argument for LoadDeepEXR", err);
    return TINYEXR_ERROR_INVALID_ARGUMENT;
  }
  MemoryMappedFile file(filename);
  if (!file.valid()) {
    tinyexr::SetErrorMessage("Cannot read file " + std::string(filename), err);
    return TINYEXR_ERROR_CANT_OPEN_FILE;
  }
  if (file.size == 0) {