[Syurli]

Summary

Reworks the repository around the new 百舸 / BAIGE brand architecture and removes CrossLoom as an active product/platform name.

Brand and product system

• Rebrand README, architecture, roadmap, contribution docs, engine entry points, Studio UI, and GitHub Pages to BAIGE / 百舸.
• Add docs/PRODUCT_NAMING.md as the canonical naming guide.
• Define official user-facing products as independently named tools with the fixed family signature A BAIGE Project.
• Reserve BAIGE-prefixed names for shared infrastructure such as BAIGE Studio, BAIGE IR, Bridge Protocol, Runtime, and code namespaces.
• Record CrossLoom and UDMBF as legacy names permitted only for migration/history/compatibility contexts.

Code namespace migration

• crossloom root workspace → baige
• @crossloom/studio → @baige/studio
• @crossloom/editor-core → @baige/editor-core
• @crossloom/schema → @baige/schema
• @crossloom/bridge-protocol → @baige/bridge-protocol
• CROSSLOOM_SCHEMA_VERSION → BAIGE_SCHEMA_VERSION
• CrossLoomDocument → BaigeDocument

Website

• Rebuild the homepage around BAIGE as the mother platform/ecosystem.
• Add the independent-product / A BAIGE Project family model.
• Rebrand the roadmap and 404 page.
• Keep the historical CrossLoom GitHub/Pages URL only as an explicit migration slug.

CI hygiene

• Fix the existing Node/pnpm cache setup that required a missing pnpm-lock.yaml before validation could start.
• Add explicit Prettier exclusions for generated or intentionally hand-formatted prototype/static-site files so CI can reach the real typecheck/test/build gates.

Compatibility

This intentionally includes early breaking API/package-name changes. The repository is still at 0.1.0-foundation, so this PR treats the BAIGE reset as the new naming baseline rather than carrying the old namespace forward as a permanent alias.

The GitHub repository itself is still named CrossLoom because the connected GitHub action set does not expose a repository-rename action. Documentation explicitly treats that string as a historical URL slug.

Validation

GitHub Actions CI passes on the final branch head:

• dependency installation: passed
• formatting gate: passed
• TypeScript typecheck: passed
• tests: passed
• build: passed