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Let $\\mathfrak{D}$ be a collection of klt pairs $(X, \\Delta)$ satisfying the following properties: (1) $X$ is a projective $3$-fold, (2) $\\Delta$ is an $\\mathbb{R}$-divisor with coefficients in $I$, (3) $K_X+\\Delta\\equiv 0$, and (4) $-K_X$ is ample. 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