chore(deps): update lycheeverse/lychee-action action to v2.2.0 (open-telemetry#6099)

This PR contains the following updates:

| Package | Type | Update | Change |
|---|---|---|---|
|
[lycheeverse/lychee-action](https://redirect.github.com/lycheeverse/lychee-action)
| action | minor | `v2.1.0` -> `v2.2.0` |

---

> [!WARNING]
> Some dependencies could not be looked up. Check the Dependency
Dashboard for more information.

---

### Release Notes

<details>
<summary>lycheeverse/lychee-action (lycheeverse/lychee-action)</summary>

###
[`v2.2.0`](https://redirect.github.com/lycheeverse/lychee-action/releases/tag/v2.2.0):
Version 2.2.0

[Compare
Source](https://redirect.github.com/lycheeverse/lychee-action/compare/v2.1.0...v2.2.0)

#### What's Changed

- Fix if expressions in GitHub actions by
[@&#8203;YDX-2147483647](https://redirect.github.com/YDX-2147483647) in
[https://github.com/lycheeverse/lychee-action/pull/265](https://redirect.github.com/lycheeverse/lychee-action/pull/265)
- Update README.md to include continue-on-error: true in action by
[@&#8203;psobolewskiPhD](https://redirect.github.com/psobolewskiPhD) in
[https://github.com/lycheeverse/lychee-action/pull/267](https://redirect.github.com/lycheeverse/lychee-action/pull/267)
- Bump default version to latest (0.18.0) by
[@&#8203;trask](https://redirect.github.com/trask) in
[https://github.com/lycheeverse/lychee-action/pull/269](https://redirect.github.com/lycheeverse/lychee-action/pull/269)

#### New Contributors

- [@&#8203;psobolewskiPhD](https://redirect.github.com/psobolewskiPhD)
made their first contribution in
[https://github.com/lycheeverse/lychee-action/pull/267](https://redirect.github.com/lycheeverse/lychee-action/pull/267)
- [@&#8203;trask](https://redirect.github.com/trask) made their first
contribution in
[https://github.com/lycheeverse/lychee-action/pull/269](https://redirect.github.com/lycheeverse/lychee-action/pull/269)

**Full Changelog**:
lycheeverse/lychee-action@v2...v2.2.0

</details>

---

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---

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---

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.github/workflows/links-fail-fast.yml

@@ -21,7 +21,7 @@ jobs:
           restore-keys: cache-lychee-
 
       - name: Link Checker
-        uses: lycheeverse/lychee-action@v2.1.0
+        uses: lycheeverse/lychee-action@v2.2.0
         env:
           GITHUB_TOKEN: ${{ secrets.GITHUB_TOKEN }}
         with:

.github/workflows/links.yml

@@ -27,7 +27,7 @@ jobs:
 
     - name: Link Checker
       id: lychee
-      uses: lycheeverse/lychee-action@v2.1.0
+      uses: lycheeverse/lychee-action@v2.2.0
       env:
         GITHUB_TOKEN: ${{ secrets.GITHUB_TOKEN }}
       with: