By working-around/subverting the terms they provided their contributions under? While you claim to be doing this in good faith, and state "it's what's best for the broader Git ecosystem", that's all based on your own opinion which appears to ignore the benefits and intent of licenses such as the GPL.
Out of interest, Would you be happy for someone to do the same with the GitButler source code? (Feed it through an LLM and re-publish the result under an MIT license with different branding)