i really recommend the book “ what color is your parachute” which sets out a process to identify and approach organisations you want to work for.
I used that when I was in a similar position and it worked for me.
The career coaching would probably be better suited to someone who has had a career. I benefited from one that was part of a redundancy package, but I also did another one a few years later (made redundant again) and it wasn't very good.
This is a child with nine a star GCSE3 A’s are A-level Russell Brick university, What most people would consider a proper degree narrowly missed a first.
The person you are posting about is not a child. They are a well-qualified adult with very little relevant work experience.
The qualification might not be a vocational one or one that would lead to a preofession.
There's a lovely young man working at my local Tesco. He has a good recent business-related degree and he can't get work. Not that that helps your DC other than it's not just your DC going through this.
The career coaching tends to focus on transferrable skills. Your DC can work through WCIYP? and come up with a list of transferrable jobs.
FWIW, When I graduated decades ago, the university careers office were not useful, but I found some council-run careers advice, which was poor.
I was pretty clueless.
The Jobcentre had a job club and that was great.
Could your DC look at other career options - maybe a conversion MSc or PGCE?