Daima showed Vegeta in his Super Saiyan 3 form for the first time in the Dragon Ball series. This is one of the most important reveals to date, as it was revealed that Vegeta also unlocked his Super Saiyan 3 form not long after seeing Goku use it previously.
Vegeta achieving Super Saiyan 3 instead of skipping it, as revealed by the future events seen in Dragon Ball Super, gave Vegeta a one-shot advantage over Goku. Vegeta was not only the first to use this form as they were both in their current child forms. He can also unlock this level through normal training on Earth, instead of needing to go to another world to complete it.
Vegeta can reach Super Saiyan 3 on Earth on his own
Dragon Ball Daima episode 12 saw Vegeta unleash his own version of Super Saiyan 3, which is different from Goku. When Goku first used Super Saiyan 3 in his fight against Majin Buu, he revealed that he had mastered this transformation during his training in the other world, but had hidden it from Vegeta so as not to feel the gap. in their power.
The episode revealed that, much to Goku's surprise, Vegeta had also obtained the Super Saiyan 3 transformation but had hidden it from Goku. The difference is that Vegeta doesn't need to go anywhere else to unlock the new form.
After seeing Goku use Super Saiyan 3, Vegeta knew that he could also use this new form and acquired it through some secret training in the months following the Majin Buu arc. And since Dragon Ball Daima only takes place about a year after that arc, Vegeta acquired this form quite quickly.
Vegeta might be stronger than Goku right now
There is a question about the relative power levels of Goku and Vegeta in Dragon Ball Daima. We've only seen Goku fight for so long, so fans have seen him able to grow beyond the limits set for himself in the Third Demon World. Goku seems to have gotten used to his child-like body.
As for Vegeta, when he fought Tamagami of the Second Demon World, it was his first real battle in the Greater Demon World with his child body. So some adjustments need to be made.
It could be argued that Vegeta had to go straight into Super Saiyan 3 form to deal with the power Neva gave Tamagami. But this is also a different case compared to Goku. The monkey brother doesn't have to deal with a Tamagami enhanced to a new level of power and only needs to reach Super Saiyan 2 to win.
This gave Vegeta the advantage in their long-standing rivalry. Although Goku was able to reach Super Saiyan 3 on his own, he spent many years in another world. It could be argued that Vegeta seeing Super Saiyan 3 Goku form gave him more ideas to actually reach that level of power, but it's still an advantage.
Vegeta saw it and was able to reach that level in just a few months. Regardless, it's still one way Vegeta can overcome his opponents. Vegeta doesn't often enjoy victories over Goku, so Dragon Ball Daima sets out to fix that, if only a little.