chore: Add docs build (#17101)

* chore: Add Docs build to CI

* Added build-docs to flow

* Updated to run in the /docs folder

* Made web app build have consistent name

* Added a kill after the command runs

* Test the build

* Added it to the PR flow

.github/workflows/pr.yml

@@ -139,6 +139,13 @@ jobs:
     uses: ./.github/workflows/atoms-production-build.yml
     secrets: inherit
 
+  build-docs:
+    name: Production builds
+    needs: [changes, check-label, deps]
+    if: ${{ needs.check-label.outputs.run-e2e == 'true' && needs.changes.outputs.has-files-requiring-all-checks == 'true' }}
+    uses: ./.github/workflows/docs-build.yml
+    secrets: inherit
+
   build:
     name: Production builds
     needs: [changes, check-label, deps]
@@ -146,6 +153,13 @@ jobs:
     uses: ./.github/workflows/production-build-without-database.yml
     secrets: inherit
 
+  build-docs:
+    name: Production builds
+    needs: [changes, check-label, deps]
+    if: ${{ needs.changes.outputs.has-files-requiring-all-checks == 'true' }}
+    uses: ./.github/workflows/docs-build.yml
+    secrets: inherit
+
   integration-test:
     name: Tests
     needs: [changes, check-label, build, build-api-v1, build-api-v2]
@@ -225,6 +239,7 @@ jobs:
         build-api-v1,
         build-api-v2,
         build-atoms,
+        build-docs,
         e2e,
         e2e-api-v2,
         e2e-embed,