He doesn't look too thin to me. He could put on some weight though. Get him eating the appropriate sized prey weekly and you'll see a decent growth spurt.
He should be on adult mice, and just give your girlfriend a friendly reminder that the chart was developed by people with years and years of success keeping and breeding thousands of BPs. I can understand her hesitation and I'm sure she genuinely wanted what's best, but sometimes you just have to trust success.
Good luck moving forward! You're in a great place to learn