A regular dodecagon $P_1 P_2 P_3 \dotsb P_{12}$ is inscribed in a circle with radius $1.$ Compute (P1P2)2+(P1P3)2+⋯+(P11P12)2.(The sum includes all terms of the form $(P_i P_j)^2,$ where $1 \le i < j \le 12.$)
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