In short: A new B2B website doesn't start with the design, but with the story: who you're there for, which problem you solve and why customers choose you. Without those choices you get a prettier site that says the same as the old one. STOF to Grow translates the positioning first and then builds the site in sprints.
The website is a few years old and it shows. Not just in the design, but mostly in what it says. The offer has changed, the customers have changed, and perhaps there's a new positioning or brand book. The site still tells the old story.
The temptation is to call an agency straight away. But the most important question about a new website isn't a design question. It's what the site needs to say, to whom, and what a visitor should do next. If you don't answer that first, you get a prettier site that says the same as the old one.