Vegan & Cruelty-free Kbeauty brand

Hi y'all, I'm vegan and against animal cruelty. I've been seeing a Kbeauty brand, Round Lab. Based on the Round Lab website itself is vegan and cruelty-free (V&CF) but I can't seem to find any more related trusted website and blog like cruelty-free kitty or ethical elephant to support their statement as any company can claimed to be V&CF where in reality they pay third party to do the animal testing on their behalf. Real question here, is any of you know Round Lab are both vegan and cruelty-free? Please share your thoughts. Thanks!