docs: update js client libs docs (#38595)

* docs: update js client libs docs

* chore: update test snapshot for specs

* ci(docs): run tests on spec changes

---------

Co-authored-by: Charis Lam <26616127+charislam@users.noreply.github.com>

.github/workflows/docs-tests.yml

@@ -5,6 +5,7 @@ on:
     branches: ['master']
     paths:
       - 'apps/docs/**/*.ts*'
+      - 'apps/docs/spec/**/*.json'
 
 # Cancel old builds on new commit for same workflow + branch/PR
 concurrency: