DEVX-118: feat: enhance documentation-as-code with badges, version refs, Vale

- Fix badge system: clean .badges dir from orphan branch, add version
  verification, make badges job depend on release (avoids stale version
  badge race condition)
- Add check_doc_versions.py: lint tool that verifies docs version
  references match current __version__, with --fix for auto-update
- Integrate check_doc_versions into release process (auto-updates docs
  on every release commit)
- Add Vale prose linter integration: .vale.ini, custom styles for
  terminology and code block language, CI step, make target
- Fix stale version references in docs (0.27.0 → 0.33.4)
- Fix e.g. → for example in docs (Google.Latin Vale rule)
- Add CI steps for check_doc_versions and Vale to quality workflow
- Add make targets: devx-check-doc-versions, devx-vale

Generated with [Devin](https://devin.ai)

Co-Authored-By: Devin <158243242+devin-ai-integration[bot]@users.noreply.github.com>

.vale/styles/Google/Headings.yml

@@ -0,0 +1,29 @@
+extends: capitalization
+message: "'%s' should use sentence-style capitalization."
+link: "https://developers.google.com/style/capitalization#capitalization-in-titles-and-headings"
+level: warning
+scope: heading
+match: $sentence
+indicators:
+  - ":"
+exceptions:
+  - Azure
+  - CLI
+  - Cosmos
+  - Docker
+  - Emmet
+  - gRPC
+  - I
+  - Kubernetes
+  - Linux
+  - macOS
+  - Marketplace
+  - MongoDB
+  - REPL
+  - Studio
+  - TypeScript
+  - URLs
+  - Visual
+  - VS
+  - Windows
+  - JSON