Rinse rice until water runs mostly clear; drain well. Melt 1 tablespoon butter in a heavy saucepan over medium. Toast almonds and pine nuts 2 to 3 minutes, stirring, until golden; transfer to a small plate.
Add oil; cook beef and onion over medium-high 8 to 10 minutes, breaking beef into small crumbles, until 160°F.
Stir in allspice, cinnamon, pepper, and salt 30 seconds. Add drained rice; stir gently 1 minute.
Add broth; boil. Cover tightly; cook on low 16 to 18 minutes until liquid absorbs and rice is tender.
Remove from heat; rest covered 10 minutes. Dot with remaining tablespoon butter; gently fluff with a fork.
Divide among four bowls; scatter toasted nuts on top just before serving.