Clarify docs: skills go to the effective CODEX_HOME, not ~/.codex

The previous documentation parenthetical "(defaulting to ~/.codex/skills/)"
was misleading because Paperclip almost always sets CODEX_HOME to a
per-company managed home.  Update index.ts docs, skills.ts detail string,
and execute.ts inline comment to make the runtime path unambiguous.

Co-Authored-By: Paperclip <noreply@paperclip.ing>

packages/adapters/codex-local/src/server/execute.ts

@@ -273,6 +273,8 @@ export async function execute(ctx: AdapterExecutionContext): Promise<AdapterExec
   const defaultCodexHome = resolveManagedCodexHomeDir(process.env, agent.companyId);
   const effectiveCodexHome = configuredCodexHome ?? preparedManagedCodexHome ?? defaultCodexHome;
   await fs.mkdir(effectiveCodexHome, { recursive: true });
+  // Inject skills into the same CODEX_HOME that Codex will actually run with
+  // (managed home in the default case, or an explicit override from adapter config).
   const codexSkillsDir = resolveCodexSkillsDir(effectiveCodexHome);
   await ensureCodexSkillsInjected(
     onLog,

packages/adapters/codex-local/src/server/skills.ts

@@ -31,7 +31,7 @@ async function buildCodexSkillSnapshot(
     sourcePath: entry.source,
     targetPath: null,
     detail: desiredSet.has(entry.key)
-      ? "Will be linked into $CODEX_HOME/skills/ on the next run."
+      ? "Will be linked into the effective CODEX_HOME/skills/ directory on the next run."
       : null,
     required: Boolean(entry.required),
     requiredReason: entry.requiredReason ?? null,