feat: Make embedding tuning sample reference new v1.1.3 tuning pipeline

[skarukas]

Description

Copy of https://github.com/GoogleCloudPlatform/nodejs-docs-samples/pull/3699 but from a branch off the original repo instead of a fork.

BUG=b/340594864

Note: Before submitting a pull request, please open an issue for discussion if you are not associated with Google.

Checklist

• [x] I have followed guidelines from CONTRIBUTING.MD and Samples Style Guide
• [x] Tests pass: npm test (see Testing) -- Affected test passes
• [x] Lint pass: npm run lint (see Style)
• [ ] These samples need a new API enabled in testing projects to pass (let us know which ones)
• [ ] These samples need a new/updated env vars in testing projects set to pass (let us know which ones)
• [x] This pull request is from a branch created directly off of GoogleCloudPlatform/nodejs-docs-samples. Not a fork.
• [ ] This sample adds a new sample directory, and I updated the CODEOWNERS file with the codeowners for this sample
• [ ] This sample adds a new sample directory, and I created GitHub Actions workflow for this sample
• [ ] This sample adds a new Product API, and I updated the Blunderbuss issue/PR auto-assigner with the codeowners for this sample
• [x] Please merge this PR for me once it is approved