Which comes first – branding or UX?

In the context of websites, which of the following scenarios seems more right:

Scenario 1

Define the corporate identity - logo, typography, colours, etc. Move on to UX design - research, prototyping, testing, etc. Then apply brand identity to UI.

Scenario 2

UX design first, then define corporate identity and apply to UI.

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What is the convention? Is there one? Is there an overlap between branding and UX?

I've searched the internet for an answer, but all I can find is whether UX or branding should be a priority. I'm not interested in this - I want to know which is done first.