[8.10] Reenable type check in api docs build (#167839) (#167842)

# Backport

This will backport the following commits from `main` to `8.10`:
- [Reenable type check in api docs build
(#167839)](#167839)

<!--- Backport version: 8.9.7 -->

### Questions ?
Please refer to the [Backport tool
documentation](https://github.com/sqren/backport)

<!--BACKPORT [{"author":{"name":"Brad
White","email":"[email protected]"},"sourceCommit":{"committedDate":"2023-10-02T23:18:13Z","message":"Reenable
type check in api docs build (#167839)\n\n## Summary\r\n\r\nThis was
missed as part of
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type check in api docs build (#167839)\n\n## Summary\r\n\r\nThis was
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type check in api docs build (#167839)\n\n## Summary\r\n\r\nThis was
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BACKPORT-->

Co-authored-by: Brad White <[email protected]>

.buildkite/scripts/steps/build_api_docs.sh

@@ -4,9 +4,8 @@ set -euo pipefail
 
 .buildkite/scripts/bootstrap.sh
 
-# TODO: Enable in #166813 after fixing types
-# echo "--- Run scripts/type_check to ensure that all build available"
-# node scripts/type_check
+echo "--- Run scripts/type_check to ensure that all build available"
+node scripts/type_check
 
 echo "--- Build API Docs"
 node --max-old-space-size=12000 scripts/build_api_docs