Rational points on 3-folds with nef anti-canonical class over finite fields

We prove that a geometrically integral smooth projective 3-fold with nef anti-canonical class and negative Kodaira dimension over a finite fieldof character-istic > 5 and cardinality = > 19 has a rational point. Additionally, under the same assumptions onand, we show that a smooth projective 3-fold with trivial canonical class and non-zero first Betti number(1)() not equal 0 has a rational point. Our techniques rely on the Minimal Model Program to establish several structure results for generalized log Calabi-Yau 3-fold pairsover perfect fields.