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/write-good/E-Prime.yml

@@ -0,0 +1,32 @@
+extends: existence
+message: "Try to avoid using '%s'."
+ignorecase: true
+level: suggestion
+tokens:
+  - am
+  - are
+  - aren't
+  - be
+  - been
+  - being
+  - he's
+  - here's
+  - here's
+  - how's
+  - i'm
+  - is
+  - isn't
+  - it's
+  - she's
+  - that's
+  - there's
+  - they're
+  - was
+  - wasn't
+  - we're
+  - were
+  - weren't
+  - what's
+  - where's
+  - who's
+  - you're