Regarding BYOK, we have no plans for it currently.
Have you tried out AI Blaze?
We support Claude 3.5 Sonnet, GPT-4o and GPT-4o mini in AI Blaze. I encourage you to try Sonnet. In our testing, it appears better than GPT-4 Turbo at answering questions in AI Blaze. If you feel GPT-4 Turbo is better than Sonnet at specific cases, please do share them with us and we will look into them.