build: pre-push turbo race removes adapters dist during example-webllm build

[EmersonBraun]

Problem

The required pre-push command pnpm check:quality-gates && pnpm lint && pnpm build fails reproducibly on current main.

turbo run build starts the workspace build graph. apps/docs-next also runs a prebuild that recursively rebuilds @agentskit/adapters and other packages while Turbo is building sibling consumers. Concurrent tsup clean/build operations remove packages/adapters/dist while apps/example-webllm runs Vite, producing:

Rolldown failed to resolve import "@agentskit/adapters"

Building adapters and example-webllm sequentially passes. Three clean pre-push attempts failed in the concurrent global build.

Impact

The mandatory hook prevents pushing unrelated valid changes, including #1123. Bypassing hooks is forbidden by AGENTS.md.

Acceptance criteria

• pnpm build has one owner for dependency ordering; nested package builds do not race Turbo siblings.
• @agentskit/example-webllm resolves @agentskit/adapters during a clean global build.
• Direct docs build workflow remains documented and functional.
• Required pre-push hook passes without --no-verify.

[EmersonBraun]

Test Plan — #1124

Unit/contract

• Docs dependency helper skips nested builds when invoked by Turbo.
• Direct docs build still builds required workspace dependencies first.

Integration

• pnpm --filter @agentskit/adapters build && pnpm --filter @agentskit/example-webllm build passes.
• Required global pnpm build completes without deleting dependency artifacts during sibling builds.

Regression

• Docs generators still run before next build.
• Docs deploy/build commands retain their current entrypoint.
• Required pre-push hook completes without bypass flags.

Rollback

Revert the dependency-helper commit; no deployment or persistent state is changed.

[EmersonBraun]

Implemented in #1125. The docs prebuild now defers dependency scheduling to Turbo while preserving standalone builds. Verified with the full build (41/41 tasks); passed and the previous dist-clean race did not recur.

[EmersonBraun]

Correction to the validation note above: the @agentskit/example-webllm build passed, and the previous dist-clean race did not recur.