[Feature]: Global installation mode — tooling at IDE level, project state at repo level

### Problem Statement

Every `specify init` call commits the full Spec Kit tooling stack into the repository:

- `.specify/extensions/*/` — full extension source (commands, scripts, changelogs, READMEs)
- `.specify/scripts/bash/` — hundreds of lines of bash scripts
- `.specify/templates/` — spec/plan/tasks templates
- `.specify/integrations/` — integration manifests
- `.cursor/skills/speckit-*` — SKILL.md files for every command

This is the right zero-setup default, but it conflates two fundamentally different concerns:

1. **Tooling** — the skills, scripts, templates, and extension source that make `specify` work. These are the same across every repo using the same version and extension set. They belong at the user/IDE level, not committed to each repo.
2. **Project state** — the constitution, extension config, and init options that are genuinely repo-specific. These belong committed.

The result is repos accumulating thousands of lines of Spec Kit infrastructure that agents (Claude Code, Cursor, Windsurf, etc.) index and treat as part of the codebase. This is the root cause behind #1401 — not just a context window issue, but a signal-to-noise problem: agents surface Spec Kit boilerplate when searching for product code, and LLMs pay token costs for content that carries no project-specific information.

### Proposed Solution

A `--global` flag (or a dedicated `specify install` command) that installs the tooling layer to the user's IDE/agent config directory rather than the repo:

```bash
# Install tooling globally once (per developer machine)
specify install --global

# Init a repo — commits only project state
specify init --here
```

**Global layer** (`~/.cursor/skills/`, `~/.specify/`, `~/.agents/skills/`, etc.):
- `speckit-*` SKILL.md files
- Extension source (`.specify/extensions/*/`)
- Bash/PowerShell scripts
- Templates
- Integration manifests

**Repo layer** (committed):
- `.specify/memory/constitution.md`
- `.specify/extensions.yml` (enabled/disabled per repo)
- `.specify/extensions/.registry` (installed state)
- `.specify/init-options.json`, `integration.json`

### Why This Is the Right Architecture

The skills, scripts, and extension source are **versioned tooling** — identical across every repo on the same manifest. Committing them to each repo is analogous to committing `node_modules` or a virtualenv. The conventional solution is: install tooling once, commit only the lockfile.

The constitution and extension config are **project-specific state** — they vary per repo and carry meaningful context for agents. These should stay committed.

### Relationship to Existing Issues

- Closes #1401 architecturally — agents on all platforms (Claude Code, Cursor, Windsurf) would no longer index Spec Kit tooling as part of the codebase
- Complements the skills-based approach (already the right direction for Cursor) by extending the same principle to all agents and to the repo itself
- Does not require changes to the default behavior — `specify init` without `--global` continues to work as today

### Migration Path

For repos already fully committed:
```bash
specify migrate --global # moves tooling to global, gitignores it, commits only project state
```

A generated `.gitignore` patch would cover `.specify/extensions/`, `.specify/scripts/`, `.specify/templates/`, `.cursor/skills/speckit-*`, etc. A post-clone setup hook (e.g. `postCreateCommand` in devcontainer, or `make setup`) would run `specify install` to restore the tooling layer.

### Additional Context

This pattern is how most modern developer tooling works: the tool itself lives outside the repo, only its configuration is committed. Spec Kit is mature enough that this separation makes sense.

Start by tracing the existing `specify init --here` flow and run it to inspect the generated `.specify/` and `.cursor/skills/speckit-*` paths. Compare that output with the proposed global and repo layers, then assess `specify install --global` and `specify migrate --global`; done means global tooling is restored while project state remains committed and default init behavior still works.

Rédigé par le modèle d'indexation à partir du texte de l'issue.