Branding is the work of being recognisable and understood — the name, the identity, the language, and the consistency that makes them add up to something over time.
Brand uplifting is the more common request: the business has outgrown its identity, or the identity was never built to stretch this far. The answer is rarely a full rebrand. More often it is sharpening what already exists and giving the team a system they can apply without asking permission.
Consistency is what turns design into a brand. A strong identity applied inconsistently is worth less than a modest one applied properly everywhere.