chore(deps): update dependency @algolia/client-search to ^5.20.2 (#1779)

This PR contains the following updates:

| Package | Change | Age | Adoption | Passing | Confidence |
|---|---|---|---|---|---|
|
[@algolia/client-search](https://redirect.github.com/algolia/algoliasearch-client-javascript/packages/client-search#readme)
([source](https://redirect.github.com/algolia/algoliasearch-client-javascript))
| [`^5.20.1` ->
`^5.20.2`](https://renovatebot.com/diffs/npm/@algolia%2fclient-search/5.20.1/5.20.2)
|
[![age](https://developer.mend.io/api/mc/badges/age/npm/@algolia%2fclient-search/5.20.2?slim=true)](https://docs.renovatebot.com/merge-confidence/)
|
[![adoption](https://developer.mend.io/api/mc/badges/adoption/npm/@algolia%2fclient-search/5.20.2?slim=true)](https://docs.renovatebot.com/merge-confidence/)
|
[![passing](https://developer.mend.io/api/mc/badges/compatibility/npm/@algolia%2fclient-search/5.20.1/5.20.2?slim=true)](https://docs.renovatebot.com/merge-confidence/)
|
[![confidence](https://developer.mend.io/api/mc/badges/confidence/npm/@algolia%2fclient-search/5.20.1/5.20.2?slim=true)](https://docs.renovatebot.com/merge-confidence/)
|

---

### Release Notes

<details>
<summary>algolia/algoliasearch-client-javascript
(@&#8203;algolia/client-search)</summary>

###
[`v5.20.2`](https://redirect.github.com/algolia/algoliasearch-client-javascript/blob/HEAD/CHANGELOG.md#5202)

[Compare
Source](https://redirect.github.com/algolia/algoliasearch-client-javascript/compare/5.20.1...5.20.2)

-
[c0e70d9864](https://redirect.github.com/algolia/api-clients-automation/commit/c0e70d9864)
chore(deps): dependencies 2025-02-10
([#&#8203;4432](https://redirect.github.com/algolia/api-clients-automation/pull/4432))
by [@&#8203;algolia-bot](https://redirect.github.com/algolia-bot/)

</details>

---

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docs/package.json

@@ -13,7 +13,7 @@
     "vue": "^3.5.13"
   },
   "devDependencies": {
-    "@algolia/client-search": "^5.20.1",
+    "@algolia/client-search": "^5.20.2",
     "@iconify-json/carbon": "^1.2.6",
     "@types/node": "^22.13.1",
     "@unocss/reset": "^65.4.3",