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

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

.vale/styles/Google/GenderBias.yml

@@ -0,0 +1,43 @@
+extends: substitution
+message: "Consider using '%s' instead of '%s'."
+ignorecase: true
+link: "https://developers.google.com/style/inclusive-documentation"
+level: error
+action:
+  name: replace
+swap:
+  (?:alumna|alumnus): graduate
+  (?:alumnae|alumni): graduates
+  air(?:m[ae]n|wom[ae]n): pilot(s)
+  anchor(?:m[ae]n|wom[ae]n): anchor(s)
+  authoress: author
+  camera(?:m[ae]n|wom[ae]n): camera operator(s)
+  door(?:m[ae]|wom[ae]n): concierge(s)
+  draft(?:m[ae]n|wom[ae]n): drafter(s)
+  fire(?:m[ae]n|wom[ae]n): firefighter(s)
+  fisher(?:m[ae]n|wom[ae]n): fisher(s)
+  fresh(?:m[ae]n|wom[ae]n): first-year student(s)
+  garbage(?:m[ae]n|wom[ae]n): waste collector(s)
+  lady lawyer: lawyer
+  ladylike: courteous
+  mail(?:m[ae]n|wom[ae]n): mail carriers
+  man and wife: husband and wife
+  man enough: strong enough
+  mankind: human kind|humanity
+  manmade: manufactured
+  manpower: personnel
+  middle(?:m[ae]n|wom[ae]n): intermediary
+  news(?:m[ae]n|wom[ae]n): journalist(s)
+  ombuds(?:man|woman): ombuds
+  oneupmanship: upstaging
+  poetess: poet
+  police(?:m[ae]n|wom[ae]n): police officer(s)
+  repair(?:m[ae]n|wom[ae]n): technician(s)
+  sales(?:m[ae]n|wom[ae]n): salesperson or sales people
+  service(?:m[ae]n|wom[ae]n): soldier(s)
+  steward(?:ess)?: flight attendant
+  tribes(?:m[ae]n|wom[ae]n): tribe member(s)
+  waitress: waiter
+  woman doctor: doctor
+  woman scientist[s]?: scientist(s)
+  work(?:m[ae]n|wom[ae]n): worker(s)