chore: organize logs into logs/ directory with startup scripts

- Moved momentry_3002.log, momentry_3003.log to logs/
- Moved 34 nohup_worker_*.log files to logs/
- Created run-server-3002.sh, run-server-3003.sh for easy startup
- Updated AGENTS.md with log paths and startup scripts
- logs/ already excluded by *.log in .gitignore

run-server-3003.sh

@@ -0,0 +1,28 @@
+#!/usr/bin/env bash
+# Start playground server on port 3003
+# Logs to logs/momentry_3003.log
+
+set -euo pipefail
+
+SCRIPT_DIR="$(cd "$(dirname "${BASH_SOURCE[0]}")" && pwd)"
+cd "$SCRIPT_DIR"
+
+# Kill existing server on port 3003
+PID=$(lsof -ti :3003 2>/dev/null || true)
+if [ -n "$PID" ]; then
+  echo "Killing existing server on port 3003 (PID: $PID)"
+  kill "$PID" 2>/dev/null || true
+  sleep 2
+fi
+
+# Build if needed
+if [ ! -f target/debug/momentry_playground ]; then
+  echo "Building playground binary..."
+  cargo build --bin momentry_playground
+fi
+
+# Start server
+echo "Starting momentry_playground server on port 3003..."
+./target/debug/momentry_playground server --port 3003 > logs/momentry_3003.log 2>&1 &
+echo "Server started (PID: $!)"
+echo "Logs: logs/momentry_3003.log"