Merge #1375

1375: Changes related to the next Meilisearch release (v1.13) r=Strift a=meili-bot

Related to this issue: meilisearch/integration-guides#314

This PR:
- gathers the changes related to the next Meilisearch release (v1.13) so that this package is ready when the official release is out.
- should pass the tests against the [latest pre-release of Meilisearch](https://github.com/meilisearch/meilisearch/releases).
- might eventually contain test failures until the Meilisearch v1.13 is out.

⚠️ This PR should NOT be merged until the next release of Meilisearch (v1.13) is out.

_This PR is auto-generated for the [pre-release week](https://github.com/meilisearch/integration-guides/blob/main/resources/pre-release-week.md) purpose._


Co-authored-by: meili-bot <[email protected]>
Co-authored-by: Strift <[email protected]>

Author: 3 people

.changeset/wet-crabs-build.md

@@ -0,0 +1,5 @@
+---
+"@meilisearch/instant-meilisearch": minor
+---
+
+Stabilize AI search

packages/instant-meilisearch/package.json

@@ -44,7 +44,7 @@
     "templates"
   ],
   "dependencies": {
-    "meilisearch": "^0.48.2"
+    "meilisearch": "^0.49.0"
   },
   "devDependencies": {
     "cssnano": "^4.1.10",