How many stars and galaxies can be seen by the naked eye? How many of the luminous dots that we see naked are galaxies and not stars from our galaxy?

I imagine that the majority of the luminous points that we see naked eye during the night, are actually stars from our galaxy. But how many of them are other objects (other galaxies, nebula, etc.), excluding planets from our Solar System?
In the best sky conditions, the naked eye (with effort) can see objects with an apparent magnitude of 8.0. This reveals about 43,197 objects in the sky.
There are 9 galaxies visible to the naked eye that you might see when observing the sky, and there are about 13 nebulae that you might see.
Sources:

The Bortle Dark-Sky Scale - John E. Bortle
How many stars are in the sky? - NASA
Naked-eye galaxies - Wikipedia
List of planetary nebulae - Wikipedia
List of diffuse nebulae - Wikipedia