refactor(mix_winds): rename mix_tailwinds to mix_winds

[leoafarias]

Related issue

None.

Description

Publishes the package under the reserved mix_winds name instead of mix_tailwinds. This is a pure rename: packages/mix_tailwinds moves to packages/mix_winds, the library entrypoint becomes lib/mix_winds.dart, and every dependency name, import, path, workflow input, publish tag pattern, melos target, and document that referenced the old name is updated.

No public API symbol changed. The Tw* types (TwParser, TwConfig, TwScope, …) and the functional div / span / button API keep their names, because they still map Tailwind CSS utilities. Only the package name moves off the Tailwind trademark.

Changes

• Moved packages/mix_tailwinds → packages/mix_winds and lib/mix_tailwinds.dart → lib/mix_winds.dart (plus test/tailwinds_test_helpers.dart → test/winds_test_helpers.dart).
• Set name: mix_winds and version: 0.1.0-alpha.0. The reserved name already holds a 0.0.1-dev.0 placeholder release and semver orders 0.0.1-alpha.1 below it, so the first real release under this name has to start above 0.0.1-dev.0. The pubspec records this as a comment so a later version bump doesn't regress under the placeholder.
• Renamed the example package to mix_winds_example and repointed its path dependency.
• Updated the publish.yml tag pattern to mix_winds-v*, the changelog.yml workflow inputs (update_mix_winds, mix_winds_version), and the test.yml showcase-tool working directory and npm cache path.
• Renamed the melos target gen:tailwinds-registry → gen:winds-registry and updated the workspace/category package lists.
• Updated .gitignore showcase path exceptions, the root/mix/mix_protocol READMEs, AGENTS.md, llms.txt, and the skills/mix reference docs.
• Renamed the npm package to mix-winds-visual-comparison and the showcase source protocol id to mix-winds-showcase-source-v1, plus the mixWinds* browser globals in the showcase host.
• Added a migration note to the package README and a Breaking changelog entry.

Deliberately not renamed

• References to Tailwind CSS itself: example/real_tailwind/ fixtures, example/web/tailwind-frame.*, tool/tailwind_parser_registry_snapshot.json, tool/tailwind_theme_snapshot.json, complex_tailwind_parity_test.dart, and prose describing parity goals.
• Historical mix_tailwinds entries in already-released changelog sections (mix_winds 0.0.1-alpha.1, mix_protocol), which record what actually shipped under the old name.

Review Checklist

• Testing: Full repository CI, package tests, Node showcase tests, analysis, formatting, and a web release build are covered below.
• Breaking Changes: Consumers must rename the dependency and change package:mix_tailwinds/mix_tailwinds.dart imports to package:mix_winds/mix_winds.dart. No symbol renames.
• Documentation Updates: README migration note, changelog entry, adaptation/comparison guides, agent guides, and skill references are updated.
• Website Updates: Tracked separately in btwld/mix-docs#51, which cannot merge until mix_winds is published to pub.dev.

Validation

• dart pub get (workspace) — resolved.
• melos run gen:build — passed; the generated parser registry, compatibility ledger, and theme data are byte-identical after the rename.
• melos run ci — passed across all Flutter and Dart packages, including mix_winds/example.
• fvm flutter test in packages/mix_winds — 532/532 passed.
• fvm dart analyze in packages/mix_winds — no issues.
• melos run analyze — schema inventory and Dart analysis passed for all 11 packages. The aggregate DCM step still reports its pre-existing issues in mix_annotations and mix_generator; this branch has no diff in either package (git diff origin/main -- packages/mix_annotations packages/mix_generator is empty) and DCM is disabled in CI.
• dart format --set-exit-if-changed over all 74 changed Dart files — 0 changed.
• npm test in packages/mix_winds/tool/visual-comparison — 14/14 passed.
• fvm flutter build web --release in packages/mix_winds/example — passed.

Follow-ups (not in this PR)

1. Publish mix_winds 0.1.0-alpha.0 via the mix_winds-v* tag.
2. Mark mix_tailwinds discontinued on pub.dev, pointing at mix_winds.
3. Merge btwld/mix-docs#51 once step 1 lands — its mix_docs_preview package depends on the published mix_winds.

Additional Information (optional)

Left unmerged for human review.