chore: update dependencies and Vercel Bun build config

[nakulsingla2020-hash]

Closes #79

/claim #79

Summary

• updated the tscircuit/circuit-json dependency stack to current published versions, including the app's direct @tscircuit/runframe import
• removed the tracked bun.lock and ignored future bun.lock / bun.lockb files while keeping bunfig.toml lockfile saving disabled
• added Vercel config so preview/production builds use bun install and bun run build
• migrated Biome config for v2 and addressed the resulting lint issues
• switched Vite 8 to native resolve.tsconfigPaths and removed the now-obsolete plugin

Verification

• npx --yes bun install
• confirmed bun.lock and bun.lockb were not regenerated
• npx --yes bun run build
• npm install --no-package-lock --legacy-peer-deps
• npm run build
• npx biome check package.json src tsconfig.json biome.json vite.config.ts vercel.json
• git diff --check HEAD

Note: npx vercel build --yes could not run locally because the saved Vercel CLI token is invalid, so I added vercel.json and verified the same install/build commands directly.

[vercel]

@nakulsingla2020-hash is attempting to deploy a commit to the tscircuit Team on Vercel.

A member of the Team first needs to authorize it.