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>

README.md

@@ -87,7 +87,7 @@ extra index and list devx in your dependencies:
 ```toml
 [project]
 dependencies = [
-    "devx>=0.27.0",
+    "devx>=0.33.4",
 ]
 
 [tool.pip]
@@ -101,8 +101,8 @@ pip install -e .
 ```
 
 > **Note:** If your project requires a specific devx version, pin it in
-> `dependencies` (e.g., `"devx==0.27.0"`) or use a version constraint
-> (e.g., `"devx>=0.27.0,<0.28"`).
+> `dependencies` (for example, `"devx==0.33.4"`) or use a version constraint
+> (for example, `"devx>=0.33.4,<0.34"`).
 
 ### Optional extras
 
@@ -420,7 +420,7 @@ make clean         # Remove caches, build artifacts, coverage data
 | `make lint-deps` | pip-audit dependency vulnerability scan |
 | `make test-unit` | Unit tests without coverage |
 | `make pytest-cov` | Unit tests with 100% coverage enforcement |
-| `make workflow-lint` | actionlint on .gitea/workflows/*.yml |
+| `make workflow-lint` | actionlint on `.gitea/workflows/*.yml` |
 | `make workflow-dryrun` | act_runner exec --dryrun on all workflows |
 | `make workflow-check` | workflow-lint + workflow-dryrun |
 | `make clean` | Remove caches, build artifacts, coverage data |