Show HN: DotComBuddy – Generate and check domains with AI in one go

I tend to use AI to brainstorm domain names, but I kept wasting time pasting each idea into Namecheap to see if they were available. So I built DotComBuddy - it generates ideas (using DeepSeek V3 - switched from GPT-4o after realizing quality was just as good) and checks availability in real time via Name.com’s API. Built with Next.js and Vercel’s AI SDK, the app gives you a table of available domains with their price. 10 free searches to try it out, then $9/year (what I’d pay to never do this manually again). Sharing this for anyone else tired of switching tabs to check domains. Happy to answer any questions. Thanks!