update examples.md for Bun v1.2 lockfile format

[loic-bellinger]

Description

Updated the action-cache examples in examples.md to reflect Bun v1.2’s switch from the binary lockfile bun.lockb to the new text-based bun.lock.

Note: If you’re on Bun < v1.2 you’ll need to continue caching the legacy bun.lockb file or bump your version to take advantage of the new format. Maybe that should be specified in the .md?

Motivation and Context

Bun v1.2 introduced a potentially breaking change in its default lockfile format. Workflows that look for the legacy lockfile bun.lockb could silently miss cache hits when running on Bun >= v1.2, leading to slower installs and unexpected rebuilds. This documentation update ensures that users following examples will cache and restore dependencies correctly on newer Bun versions.

How Has This Been Tested?

Not yet tested in CI — these changes are strictly to documentation.

Users should apply the updated examples to their workflows and verify that the cache key correctly picks up bun.lock (e.g. by inspecting the Actions “Cache hit” log).

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)
• [x] Documentation (add or update README or docs)

Checklist:

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