refactor: rename lib/ to core/ for clearer core-module separation

Rename the top-level lib/ directory to core/ so the project root
immediately communicates which code is core platform and which lives
in modules/. PHP namespaces (MintyPHP\*) are unchanged — only the
Composer PSR-4 path mapping moves from lib/ to core/.

Module-internal lib/ directories (modules/*/lib/) are untouched.

Updated across the full stack:
- composer.json PSR-4 mapping
- bootstrap entry points (web/index.php, bin/*, tests/bootstrap.php)
- tooling configs (phpstan.neon, phpunit.xml, php-cs-fixer)
- 26 architecture contract tests
- enforcement-policy, guard-catalog, quality-gates
- all documentation (CLAUDE.md, README, 25 docs/, .agents/skills/)
- bin/qa-extended.sh search paths
- .claude/settings.local.json permission paths

Workflow: .agents/runs/CORE-LIB-RENAME-001/ (Analyst → Planner →
Executor → Code Review (4 findings fixed) → Security Review →
Acceptance Test → Finalizer)

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>

core/Console/Support/CliAppBootstrap.php

@@ -0,0 +1,55 @@
+<?php
+
+declare(strict_types=1);
+
+namespace MintyPHP\Console\Support;
+
+use MintyPHP\App\AppContainer;
+use MintyPHP\Http\RequestContext;
+use RuntimeException;
+
+final class CliAppBootstrap
+{
+    private static bool $booted = false;
+    private static ?AppContainer $container = null;
+
+    private function __construct()
+    {
+    }
+
+    public static function projectRoot(): string
+    {
+        return dirname(__DIR__, 3);
+    }
+
+    public static function bootstrap(string $channel = 'cli', string $path = 'bin/cli'): AppContainer
+    {
+        if (!self::$booted) {
+            $projectRoot = self::projectRoot();
+            chdir($projectRoot);
+
+            require_once $projectRoot . '/vendor/autoload.php';
+            require_once $projectRoot . '/config/config.php';
+            require_once $projectRoot . '/lib/Support/helpers.php';
+
+            /** @var AppContainer $container */
+            $container = require $projectRoot . '/lib/App/registerContainer.php';
+            setAppContainer($container);
+
+            self::$container = $container;
+            self::$booted = true;
+        }
+
+        RequestContext::start([
+            'channel' => $channel,
+            'method' => 'CLI',
+            'path' => $path,
+        ]);
+
+        if (!self::$container instanceof AppContainer) {
+            throw new RuntimeException('CLI app container bootstrap failed.');
+        }
+
+        return self::$container;
+    }
+}