Lapis was the first playable character to be revealed for , and her all-around powerful SyComs make her an excellent Breaker to test out builds with.
Her more general SyCom, Warrior, gives bonus stat increases whenever you upgrade it, meaning she gains stats faster than other Breakers.
This also means that you can take her Warrior SyCom along to almost any build; you choose to upgrade whichever stats are most helpful in the moment, and you get a slight bonus while you do it without having to worry about synergy. Generally, your SyCom and your Holobytes are the most important in determining your build, no matter which of the three playable Breakers you're playing.
Holobytes are your modifiers that increase your stats, damage, and other traits, while your SyCom is Breaker-dependent and includes unique passives.
Like the others, Lapis has two SyComs: Lightweaver and Warrior. For this DPS-focused build, you'll want to run Warrior. There are a few builds in that take a while to get off the ground, and this Bright Blood build for Lapis is one such build.It's based around the Plasma Edge and Danger Blood Holobytes, which increase your DMG when you have more Blood in your cache and the Danger Level is higher, respectively.