The legal term for a brand, or part of a brand, that is given legal protection is

The legal term is trademark: a brand name, logo or other sign that is registered and protected by law (in India under the Trade Marks Act, 1999) gives its owner the exclusive right to use it. A patent protects an invention, a licence is a permission to use someone else's right, and top-of-mind recall is a marketing measure of brand awareness, not a legal term.