Getting cut after the final round is brutal, especially when you have excellent fit scores (PEI/TEI)—you were right on the cusp. Here is the reality of reapplying.
While the interview process itself technically "restarts" (new schedule, new interviewers in some cases, fresh scores), your previous application history and the specific feedback (lost points on problem solving) are immediately visible to the recruiting coordinator and, critically, to the hiring manager for a specialized role like Senior Procurement Analyst. They aren't going to forget that you just went through the full cycle three months ago.
The immediate challenge isn't the interviews themselves, but the initial screening. If you are applying to the exact same role on the exact same team, the assumption will be that you haven't had enough time to demonstrably close a significant analytical gap. To successfully convert this second application, you must preemptively manage that perception.
When you get a call or send a follow-up email, you need to explicitly state: "Since my December final round, I focused intensely on closing the analytical gap identified in the feedback. I've completed X and Y (e.g., specific case training, analytical courses, or relevant work project where you led the quantitative analysis)." You must provide evidence that this time, the problem-solving will be watertight. Don't wait for them to ask; address the prior rejection head-on. That shows self-awareness and urgency.
All the best with the pivot. You got this close once, which means the underlying fit is there.