chore(docs): Update "Adding Search with Algolia" guide (#29460)

Co-authored-by: gatsbybot <mathews.kyle+gatsbybot@gmail.com>

docs/docs/adding-search-with-algolia.md

@@ -313,7 +313,7 @@ You now need to hook up the two components to each other and perform the actual
 
 ```jsx:title=src/components/search/index.js
 import algoliasearch from "algoliasearch/lite"
-import { createRef, default as React, useState } from "react"
+import { createRef, default as React, useState, useMemo } from "react"
 import { InstantSearch } from "react-instantsearch-dom"
 import { ThemeProvider } from "styled-components"
 import StyledSearchBox from "./styled-search-box"
@@ -331,9 +331,13 @@ export default function Search({ indices }) {
   const rootRef = createRef()
   const [query, setQuery] = useState()
   const [hasFocus, setFocus] = useState(false)
-  const searchClient = algoliasearch(
-    process.env.GATSBY_ALGOLIA_APP_ID,
-    process.env.GATSBY_ALGOLIA_SEARCH_KEY
+  const searchClient = useMemo(
+    () =>
+      algoliasearch(
+        process.env.GATSBY_ALGOLIA_APP_ID,
+        process.env.GATSBY_ALGOLIA_SEARCH_KEY
+      ),
+    []
   )
 
   useClickOutside(rootRef, () => setFocus(false))
@@ -362,6 +366,8 @@ The `ThemeProvider` exports variables for the CSS to use (this is the [theming](
 
 The `hasFocus` variable tracks whether the search box is currently in focus. When it is, it should display the input field (if not, only the search icon button is visible).
 
+The `searchClient` variable is [memoized](https://reactjs.org/docs/hooks-reference.html#usememo) to avoid re-creating the Algolia search client when the `Search` component is re-rendered. This is important for performance, as the client caches searches to minimise the number of requests made to Algolia.
+
 `StyledSearchRoot` is the root of the whole component. The React hook `useClickOutside` provides a callback if the user clicks anywhere else on the page, in which case it should close.
 
 `InstantSearch` from [`react-instantsearch-dom`](https://community.algolia.com/react-instantsearch) wraps the search box and search results to orchestrate the search.