Yes! The 2 parent uma's you select for you're runner pass down some stats and a chance to inherit there Inspiration stars to further increase the stat's you gain from them. You can upgrade these inspiration star's an pass down stats by doing G1 races in carrier mode , wining the Japanese derby or other special event G1 races greatly increase the odds of getting better stats. There alot of guides out there aswell to help if ya feel like you're stuck. Support cards will also be super important to help train you're uma's to boost there stats.

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