Independent and permanent self-existence
Empty of what?
A cup exists, but not from its own side. Clay, heat, labor, design, language, use, and perception participate in what is called a cup. Remove every relation and no isolated cup-essence remains. Emptiness names this absence of independent existence, not the absence of the usable cup.
The same analysis applies to people. A person is real and worthy of care, yet cannot be separated from body, ancestry, language, relationship, memory, and environment. Emptiness makes identity less like a sealed container and more like a living pattern.