build: migrate plugins to Bun catalogs

[omercnet]

Summary

• add the root Bun workspace/catalog and migrate every shared dependency to catalog:
• publish Bun-normalized tarballs through npm provenance, without requiring Bun for plugin users
• remove npm lockfile staging and use temporary npm-compatible manifests for OMP and Shared Browser Git/local installs
• standardize Shared Browser and missing packages on Biome quality commands

Verification

• bun run --filter '*' typecheck
• node --test .github/scripts/*.test.mjs
• npm test in paseo-omp, paseo-shared-browser, fresh-worktrees, and isolated Context Mode
• isolated lockless OMP and Shared Browser source staging, including Shared Browser runtime preparation
• isolated Bun fixture confirms bun install --lockfile-only preserves an existing npm package-lock.json

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