fix: name the writable Homebrew exception on the no-admin route (release review)

resolve_admin_mode keeps a non-admin Mac account on the system route when it
can write to Homebrew. The wiki and both READMEs left that out.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>

README.md

@@ -69,7 +69,7 @@ This installs Node.js, tmux and a build toolchain if missing (node-pty ships no
 - **How it's reachable, your choice.** **Tailscale** (loopback bind fronted by `tailscale serve`, so you get `https://<machine>.<tailnet>.ts.net` with a real certificate and your tailnet as the login, no password needed), **any device on your network** (`0.0.0.0`, with a strongly recommended password prompt), or **this machine only** (`127.0.0.1`, safest). Skipping the password on a network bind requires an explicit confirmation and ends with a loud warning. The highlighted default reflects what is already on the machine (Tailscale when it is already connected, your existing binding on a re-run), and a bare Enter never pulls in new software. If another app already owns `:443` on your node, Codeman goes under `https://<machine>.<tailnet>.ts.net/codeman` or on a second port instead of replacing it. A bare `codeman web` started by hand still defaults to loopback.
 - **The name is yours to choose.** By default the URL uses the machine's existing tailnet name. Answering yes to the second question renames the machine to `codeman-<hostname>` (which also renames it for SSH, so the default is no); `install.sh name` does it later.
 - **Re-run to update.** The same one-liner updates a finished install in place: local changes in `~/.codeman/app` are stashed (never discarded), and a running service is restarted and verified. If a first install was interrupted, re-running resumes the full setup instead. `install.sh status` prints the URLs and the QR code again; `install.sh update`, `install.sh tailscale` and `install.sh uninstall` also exist.
-- **No administrator rights needed.** On an account without `sudo`, one whose `sudo` rights the installer cannot confirm (outside the `sudo`, `wheel` and `admin` groups, with a password still required) or a Mac account that is not an administrator, the installer downloads Node.js from nodejs.org and the tmux project's own build into `~/.codeman/runtime`, each checked against its SHA-256, and takes the source as an archive when there is no working git. `--no-admin` forces that route and `CODEMAN_NO_ADMIN=0` turns it off. Two limits: Linux needs make, a C++ compiler and python3 to be there already, and the tmux download needs macOS 15 or newer. Details in the [wiki](https://github.com/Ark0N/Codeman/wiki/Installation#without-administrator-rights).
+- **No administrator rights needed.** On an account without `sudo`, one whose `sudo` rights the installer cannot confirm (outside the `sudo`, `wheel` and `admin` groups, with a password still required) or a Mac account that is not an administrator and has no Homebrew it can write to, the installer downloads Node.js from nodejs.org and the tmux project's own build into `~/.codeman/runtime`, each checked against its SHA-256, and takes the source as an archive when there is no working git. `--no-admin` forces that route and `CODEMAN_NO_ADMIN=0` turns it off. Two limits: Linux needs make, a C++ compiler and python3 to be there already, and the tmux download needs macOS 15 or newer. Details in the [wiki](https://github.com/Ark0N/Codeman/wiki/Installation#without-administrator-rights).
 - **Flags for the impatient.** `curl -fsSL https://getcodeman.com/install | bash -s -- --tailscale --service` answers the questions from the command line (`--lan`, `--local`, `--run`, `--no-start`, `--name <n>`, `--port <n>`, `--yes` too). **CI / headless:** without a terminal attached, steps that would change your system abort with instructions instead of running silently; set `CODEMAN_NONINTERACTIVE=1` to approve them for automation.
 
 You'll need at least one AI coding CLI installed — [Claude Code](https://docs.anthropic.com/en/docs/claude-code), [OpenCode](https://opencode.ai), [Codex](https://developers.openai.com/codex/cli), [Antigravity](https://antigravity.google), [Gemini CLI](https://github.com/google-gemini/gemini-cli), [Pi](https://pi.dev), [Grok Build](https://github.com/xai-org/grok-build), [DeepSeek Harness](https://github.com/deepseek-ai/deepseek-harness), [OMP](https://github.com/can1357/oh-my-pi), or [GitHub Copilot CLI](https://github.com/github/copilot-cli) (any combination works; Gemini CLI is enterprise-only since Google's consumer cutover, and Antigravity is its successor). The installer detects whichever of the ten is present; if none is found, it offers to install any of them from a menu (DeepSeek excepted, since its npm package installs only a launcher with no runnable profile), or you can skip and install one yourself later. After install:

README.zh-CN.md

@@ -71,7 +71,7 @@ curl -fsSL https://getcodeman.com/install | bash
 - **怎么访问，由你决定。** 安装器提供三种到达仪表盘的方式：**Tailscale**（环回绑定，由 `tailscale serve` 代理，得到带真实证书的 `https://<机器名>.<tailnet>.ts.net`，用你的 tailnet 当登录，无需密码）、**局域网内任意设备**（`0.0.0.0`，会提示设置一个强烈推荐的密码），或**仅本机**（`127.0.0.1`，最安全）。绑定网络却跳过密码需要显式确认，并以醒目警告收尾。高亮的默认项反映机器上已有的状态（已在用 Tailscale 时默认 Tailscale，重跑时沿用现有绑定），直接回车绝不会引入新软件。如果你节点上的 `:443` 已被别的应用占用，Codeman 会改用 `https://<机器名>.<tailnet>.ts.net/codeman` 或第二个端口，而不是把它替换掉。手动运行的 `codeman web` 仍默认仅环回。
 - **名字由你来定。** 默认情况下，URL 用的是这台机器在 tailnet 里现有的名字。第二个问题答「是」会把机器改名为 `codeman-<hostname>`（这也会改掉它在 SSH 里的名字，所以默认是「否」）；之后也可以用 `install.sh name` 来改。
 - **重跑即更新。** 再次运行同一条命令即可原地更新已完成的安装：`~/.codeman/app` 中的本地改动会被 stash（绝不丢弃），运行中的服务会自动重启并校验。若首次安装中途失败，重跑会继续完成完整的安装流程。`install.sh status` 会再次打印 URL 和二维码；另外还有 `install.sh update`、`install.sh tailscale` 和 `install.sh uninstall`。
-- **无需管理员权限。** 在没有 `sudo` 的账户、安装器无法确认 `sudo` 权限的账户（不在 `sudo`、`wheel`、`admin` 组内，且 `sudo` 需要密码）或不是管理员的 Mac 账户上，安装器会把 nodejs.org 的 Node.js 和 tmux 项目自己的构建下载到 `~/.codeman/runtime`，两者都会校验 SHA-256；没有可用的 git 时，则以归档包的方式获取源码。`--no-admin` 强制走这条路线，`CODEMAN_NO_ADMIN=0` 则将其关闭。两个限制：Linux 上必须已有 make、C++ 编译器和 python3，tmux 下载需要 macOS 15 或更新版本。详见 [wiki](https://github.com/Ark0N/Codeman/wiki/Installation#without-administrator-rights)。
+- **无需管理员权限。** 在没有 `sudo` 的账户、安装器无法确认 `sudo` 权限的账户（不在 `sudo`、`wheel`、`admin` 组内，且 `sudo` 需要密码）或不是管理员、也没有可写入的 Homebrew 的 Mac 账户上，安装器会把 nodejs.org 的 Node.js 和 tmux 项目自己的构建下载到 `~/.codeman/runtime`，两者都会校验 SHA-256；没有可用的 git 时，则以归档包的方式获取源码。`--no-admin` 强制走这条路线，`CODEMAN_NO_ADMIN=0` 则将其关闭。两个限制：Linux 上必须已有 make、C++ 编译器和 python3，tmux 下载需要 macOS 15 或更新版本。详见 [wiki](https://github.com/Ark0N/Codeman/wiki/Installation#without-administrator-rights)。
 - **给急性子的参数。** `curl -fsSL https://getcodeman.com/install | bash -s -- --tailscale --service` 直接在命令行上回答这些问题（还有 `--lan`、`--local`、`--run`、`--no-start`、`--name <n>`、`--port <n>`、`--yes`）。**CI / 无终端环境：** 没有终端时，涉及系统改动的步骤会带着说明中止，而不是静默执行；在自动化场景设置 `CODEMAN_NONINTERACTIVE=1` 即可批准这些步骤。
 
 你至少需要安装一个 AI 编程 CLI —— [Claude Code](https://docs.anthropic.com/en/docs/claude-code)、[OpenCode](https://opencode.ai)、[Codex](https://developers.openai.com/codex/cli)、[Antigravity](https://antigravity.google)、[Gemini CLI](https://github.com/google-gemini/gemini-cli)、[Pi](https://pi.dev)、[Grok Build](https://github.com/xai-org/grok-build)、[DeepSeek Harness](https://github.com/deepseek-ai/deepseek-harness)、[OMP](https://github.com/can1357/oh-my-pi) 或 [GitHub Copilot CLI](https://github.com/github/copilot-cli)（任意组合均可；自 Google 面向消费者停售后，Gemini CLI 仅限企业版，Antigravity 是其继任者）。安装器会自动检测这十个中已安装的任意一个；若一个都没有，会给出一个菜单让你安装其中任意一个（DeepSeek 除外，它的 npm 包只装一个启动器，没有可运行的 profile），也可以选择跳过、稍后自行安装。安装完成后：

docs/wiki/Installation.md

@@ -117,7 +117,8 @@ installer says so in its summary (`Admin  not used (...)`) and gets those anothe
 
 This route is taken by itself when `sudo` is not installed, when the account is outside the
 `sudo`, `wheel` and `admin` groups and `sudo` will not run without a password, when the
-`sudo` password is refused, and on a Mac for an account that is not an administrator.
+`sudo` password is refused, and on a Mac for an account that is not an administrator and
+has no Homebrew it can write to.
 `--no-admin` (or `CODEMAN_NO_ADMIN=1`) forces it on an account that does have the rights;
 `CODEMAN_NO_ADMIN=0` switches the detection off. Nothing on this route runs `sudo`,
 Homebrew or the Xcode tools installer.