Will this schedule work? The teams are the letters A to I, and the schedule has 12 weeks separated by the dashed lines.
F1 F2 F3
(E H) (B D) (C F)
(A D) (E I) (F G)
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(C H) (B E) (A I)
(D F) (B C) (G I)
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(D E) (F I) (A B)
(G H) (C I) (A E)
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(B F) (C G) (D I)
(E F) (D G) (A H)
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(C E) (A F) (B H)
(H I) (A G) (C D)
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(B I) (D H) (E G)
(B G) (F H) (A C)
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(F G) (D I) (B C)
(B H) (A G) (C E)
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(A I) (B E) (G H)
(C D) (A B) (F I)
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(G I) (E H) (B D)
(A H) (C F) (D E)
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(A D) (C H) (B F)
(E G) (C I) (D H)
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(A C) (D G) (E F)
(B I) (F H) (A E)
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(C G) (A F) (H I)
(D F) (E I) (B G)
The first 6 weeks, and last 6 weeks, should be a single round robins. Hope that helps.