FOR THE YOGURT-GARLIC SAUCE: Whisk all ingredients together in bowl. Set aside.
FOR THE KOFTE: Process pine nuts, garlic, paprika, salt, cumin, pepper, coriander, cloves, nutmeg, and cinnamon in food processor until coarse paste forms, 30 to 45 seconds. Transfer mixture to large bowl. Add lamb, figs, onion, parsley, mint, and gelatin; knead with your hands until thoroughly combined and mixture feels slightly sticky, about 2 minutes. Divide mixture into 8 equal portions. Shape each portion into 5-inch-long cylinder about 1 inch in diameter. Using 8 (12-incmetal skewers, thread 1 cylinder onto each skewer, pressing gently to adhere. Transfer skewers to lightly greased baking sheet, cover with plastic wrap, and refrigerate for at least 1 hour or up to 24 hours.
FOR A CHARCOAL GRILL: Using skewer, poke 12 holes in bottom of disposable pan. Open bottom vent completely and place pan in center of grill. Light large chimney starter filled two thirds with charcoal briquettes (4 quarts). When top coals are partially covered with ash, pour into pan. Set cooking grate in place, cover, and open lid vent completely. Heat grill until hot, about 5 minutes.
FOR A GAS GRILL: Turn all burners to high, cover, and heat grill until hot, about 15 minutes. Leave all burners on high.
Clean and oil cooking grate. Place skewers on grill (directly over coals if using charcoaat 45-degree angle to grate. Cook (covered if using gauntil browned and meat easily releases from grill, 4 to 7 minutes. Check at halftime of cooking making sure meat is not getting too brown. Flip skewers and continue to cook until browned on second side and meat registers 160 degrees, about 6 minutes longer. Transfer skewers to platter and serve, passing yogurt-garlic sauce separately.