fix(publish): use updated version with pnpm workspaces

[fahslaj]

Description

Correctly use the updated version of a dependency that is updated during lerna publish.

Motivation and Context

#3456

How Has This Been Tested?

This has been tested manually against a repro workspace. All existing tests pass.

Types of changes

• Bug fix (non-breaking change which fixes an issue)
• New feature (non-breaking change which adds functionality)
• Breaking change (fix or feature that would cause existing functionality to change)
• Chore (change that has absolutely no effect on users)

Checklist:

• My code follows the code style of this project.
• My change requires a change to the documentation.
• I have updated the documentation accordingly.
• I have read the CONTRIBUTING document.
• I have added tests to cover my changes.
• All new and existing tests passed.

[nx-cloud]

☁️ Nx Cloud Report

CI is running/has finished running commands for commit 6caf4b9. As they complete they will appear below. Click to see the status, the terminal output, and the build insights.

📂 See all runs for this branch

---

✅ Successfully ran 9 targets

• nx prepare-for-e2e e2e-run-task-runner
• nx run integration:integration --ci --maxWorkers=2
• nx run integration:integration --ci --maxWorkers=2 --testPathIgnorePatterns=lerna-import.spec.ts
• nx run-many --t e2e --parallel=1
• nx run-many -t build --parallel=3
• nx run-many -t lint --parallel=3
• nx run-many -t test --parallel=3 --ci --maxWorkers=2
• nx run-many -t test --parallel=3 --ci --maxWorkers=2 --testTimeout=45000 --testPathIgnorePatterns=create-symlink.spec.ts --testPathIgnorePatterns=get-two-factor-auth-required.spec.ts --testPathIgnorePatterns=version-lifecycle-scripts.spec.ts --testPathIgnorePatterns=version-allow-branch.spec.ts --testPathIgnorePatterns=version-message.spec.ts --tes...
• nx-cloud record -- npx nx format:check

---

Sent with 💌 from NxCloud.