chore(deps): update lycheeverse/lychee-action action to v1.10.0 (#7298)

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This PR contains the following updates:

| Package | Type | Update | Change |
|---|---|---|---|
|
[lycheeverse/lychee-action](https://togithub.com/lycheeverse/lychee-action)
| action | minor | `v1.9.3` -> `v1.10.0` |

---

### Release Notes

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

###
[`v1.10.0`](https://togithub.com/lycheeverse/lychee-action/releases/tag/v1.10.0)

[Compare
Source](https://togithub.com/lycheeverse/lychee-action/compare/v1.9.3...v1.10.0)

#### What's Changed

- Update `actions/checkout` to version `4` by
[@&#8203;jacobdalamb](https://togithub.com/jacobdalamb) in
[https://github.com/lycheeverse/lychee-action/pull/224](https://togithub.com/lycheeverse/lychee-action/pull/224)
- Bump lychee to 0.15.0 by [@&#8203;mre](https://togithub.com/mre) in
[https://github.com/lycheeverse/lychee-action/pull/226](https://togithub.com/lycheeverse/lychee-action/pull/226)

#### New Contributors

- [@&#8203;jacobdalamb](https://togithub.com/jacobdalamb) made their
first contribution in
[https://github.com/lycheeverse/lychee-action/pull/224](https://togithub.com/lycheeverse/lychee-action/pull/224)

**Full Changelog**:
lycheeverse/lychee-action@v1.9.3...v1.10.0

</details>

---

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---

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---

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.github/workflows/check_links.yaml

@@ -24,7 +24,7 @@ jobs:
           restore-keys: cache-lychee-
       - name: Link Checker
         id: lychee
-        uses: lycheeverse/lychee-action@v1.9.3
+        uses: lycheeverse/lychee-action@v1.10.0
         with:
           fail: true
           args: '"./website/docs/**/*.md" "./website/docs/**/*.mdx" "./src/mailtemplates/*.mustache" --scheme http --scheme https --cache --max-cache-age 7d --exclude-mail --verbose' # other excludes are in .lycheeignore