I would take a slightly different route, you are in a club, that is a good start. I had been on ROTC rifle team in high school and shot on team in 81st inf div - Garand days. some pistol comp locally.
I was "unlearned" as a BR shooter, didn't even know what it was, Al Angerman, a fine BR shooter whom I met at the range, invited me to his home to watch him load, make 224 bullets on B& A dies and clean his rifles after they had been shot.
-learned something of the loading process
-learned something of the cleaning process
-learned something of the precision needed in bullets
-we talked a lot and he was gracious to allow me to shoot one of his HV rifles, from his rest, with his loads, using his flags,
1st group I had ever shot in the .200's
That said,- get to the range, pick a shooter you know and ask him to help you learn, I will be very surprised if you are turned down.
once you have some knowledge and have had a chance to shoot a borrowed rifle for a match or even just in practice, you will then be in a better position to decide what to buy, what is needed, and where to start within your club, your $ availability and based on your willing to get in for fun, or "very very serious.
What ever, you decide, is then based on some personal evaluation of your starting point
Bob