Marshmallow: unable to share some file types by Bluetooth

For some file types (such as JPG, MP3 and MP4) the "Share" options in the built-in file manager or in Astro offer Bluetooth, but other files cannot be shared that way (some other options such as DropBox are available...). Renaming the file with a "proper" extension lets me send it over BT, but how can I do this more directly?

Running Marshmallow 6.01 on Moto G 3rd gen

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Marshmallow: unable to share some file types by Bluetooth