Add droid and cursor sync targets, extract shared path helpers

- Add sync --target droid (skills to ~/.factory/skills/)
- Add sync --target cursor (skills + MCP to .cursor/)
- Extract expandHome/resolveTargetHome to src/utils/resolve-home.ts
- Remove duplicated path helpers from convert.ts and install.ts
- Bump version to 0.6.0

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

src/sync/droid.ts

@@ -0,0 +1,21 @@
+import fs from "fs/promises"
+import path from "path"
+import type { ClaudeHomeConfig } from "../parsers/claude-home"
+import { forceSymlink, isValidSkillName } from "../utils/symlink"
+
+export async function syncToDroid(
+  config: ClaudeHomeConfig,
+  outputRoot: string,
+): Promise<void> {
+  const skillsDir = path.join(outputRoot, "skills")
+  await fs.mkdir(skillsDir, { recursive: true })
+
+  for (const skill of config.skills) {
+    if (!isValidSkillName(skill.name)) {
+      console.warn(`Skipping skill with invalid name: ${skill.name}`)
+      continue
+    }
+    const target = path.join(skillsDir, skill.name)
+    await forceSymlink(skill.sourceDir, target)
+  }
+}