- Add pendingReorderCount ref + onMutate/onSettled to saveReorderMutation (DASH-07)
- Add advanceMutation (trpc.round.advanceProjects) with getProjectStates invalidation
- Add batchRejectMutation (trpc.roundEngine.batchTransition) using .length per MEMORY.md
- Add handleAdvance: advances top N per category, optionally batch-rejects the rest
- Add Advance Top N button in header (disabled when saveReorderMutation.isPending)
- Add Dialog with per-category N inputs, batch-reject checkbox, and count preview
- Import Dialog, Input, Label, Trophy from shadcn/lucide