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Okay, so physically, Barbarian can stomp Luz. He scales to 0.036 tons while Luz scales to 0.0063759603 tons, so a 5.64620830528x difference.

In terms of their 8-B stats, they're about even, with Luz having the slightest advantage. Barbarian scales to 37.158 tons while Luz scales to 156927686565 J or 37.50661724784895 tons, so Luz has a 1.009382024x advantage which is basically nonexistent.

They're probably going to be starting a couple dozen meters away considering Luz's range (though that's more the range of its effects and not the range she can throw them), so that should give Luz the opportunity to throw some glyphs at him.

Gonna give it to the Barbarian since Luz is the kind of person to try and go for melee for whatever reason or just close range in general. She doesn't usually make giant blasts from what I remember which is really her best chance at defeating the Barbarian since up close she gets absolutely destroyed in a few hits at most. Even then, the Barbarian should be able to take her glyphs and cover the distance well enough to get the win.
 
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