I have a BSc in Aeronautical Management (+Erasmus exchange experience) and a PPL and I am 22. I was thinking the same (doing a Msc in Cranfield) but then I realized it was better to go straight to my ATPLs (BGS) and working at the same time. You have got a uni degree, something that a lot of pilots don't have these days, so you are good enough!
I encourage you to carry on your pilot training modularly as you are young and you can get aviation experience which will be invaluable once you get your fATPL. By the way, BGS + PAT (Bournemouth)!
Regards.