Fix docs build (#858)

* Fix docs cache path

* Add manual docs trigger

.github/workflows/publish_docs.yml

@@ -1,5 +1,6 @@
 name: Publish Docs
 on:
+  workflow_dispath:
   release:
     types: [published]
 
@@ -15,6 +16,7 @@ jobs:
         with:
           node-version: 16
           cache: 'npm'
+          cache-dependency-path: docs/package-lock.json
       - run: |
           cd docs/
           npm ci