How do you choose a color palette before starting a website design?

I'm interested in leaing how other designers and front-end developers choose colors before they start building a website.

Some people create a palette from scratch, while others take inspiration from logos, screenshots, or existing branding. I usually spend a fair amount of time getting the colors right because they have a big impact on the overall look and user experience.

When I need to identify colors from a reference image, I sometimes use an Image Color Picker Online since...

How do you choose a color palette before starting a website design?