[OPS-657] Add auth to davinci-yarn-install

[videnovnebojsa]

OPS-657

Every repo that relies on toptal/davinci-github-actions/yarn-install is unable to use Toptal's cache. You can see this in your githb actions logs. Even though most actions are still green, they are most probably way slower.

More context: https://toptal-core.slack.com/archives/C03VBF0J6/p1739447389762339

How to test

• Check you can still install npm deps

Development checks

• Add changeset according to guidelines (if needed)

PR commands

List of available commands:

• @toptal-anvil ping reviewers - Ping teams for review

[changeset-bot]

⚠️ No Changeset found

Latest commit: 99ce211

Merging this PR will not cause a version bump for any packages. If these changes should not result in a new version, you're good to go. If these changes should result in a version bump, you need to add a changeset.

This PR includes no changesets

When changesets are added to this PR, you'll see the packages that this PR includes changesets for and the associated semver types

Click here to learn what changesets are, and how to add one.

Click here if you're a maintainer who wants to add a changeset to this PR