Connections Optimizer reorganizes the user's X and LinkedIn network with review-first pruning, add and follow recommendations, and channel-specific warm outreach drafted in the user's real voice. It handles X following cleanup, LinkedIn connection analysis, prune queues, and warm-path identification while enforcing safety defaults like review-first pruning. Use when the user wants to clean up following lists, grow toward current priorities, or rebalance a social graph around higher-signal relationships.