docs(readme): sync with current state after webui removal

Remove webui from architecture, commands, and security table.
Update auth option 3 to reference ~/.claude instead of claude-config volume.
Drop stale registry path comment and web interface section.

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

README.md

@@ -1,6 +1,6 @@
 # docker-claude
 
-Runs [Claude Code](https://claude.ai/code) inside an isolated Docker environment with a proxy sidecar for controlled egress. Claude cannot reach the host filesystem or network directly.
+Runs [Claude Code](https://claude.ai/code) inside an isolated Docker environment with a proxy sidecar for controlled egress. Claude cannot access the host filesystem or network directly.
 
 ## Architecture
 
@@ -14,15 +14,13 @@ Runs [Claude Code](https://claude.ai/code) inside an isolated Docker environment
 │  ┌──────────────────────────────────────────────────┐   │
 │  │  Docker: claude-secure                           │   │
 │  │                                                  │   │
-│  │  ┌─────────────┐                                 │   │
+│  │  ┌─────────────┐    claude-internal              │   │
-│  │  │  claude     │──┐  claude-internal             │   │
+│  │  │  claude     │    (internal: true)             │   │
-│  │  │  (UID 1000) │  │  (internal: true)            │   │
+│  │  │  (UID 1000) │──────────────► ┌──────────┐    │   │
-│  │  └─────────────┘  ├──────────────► ┌──────────┐ │   │
+│  │  └─────────────┘                │  proxy   │    │   │
-│  │  ┌─────────────┐  │                │  proxy   │ │   │
+│  │                                 │ (UID 13) │    │   │
-│  │  │  webui      │──┘                │ (UID 13) │ │   │
+│  │                                 └────┬─────┘    │   │
-│  │  │  (UID 1000) │                   └────┬─────┘ │   │
+│  │                             proxy-external       │   │
-│  │  │  port 7681  │              proxy-external     │   │
-│  │  └─────────────┘                        │        │   │
 │  └──────────────────────────────────────────────────┘   │
 │                                            │             │
 │                                            ▼             │
@@ -31,7 +29,6 @@ Runs [Claude Code](https://claude.ai/code) inside an isolated Docker environment
 ```
 
 - **`claude`** — Claude Code CLI (`node:20-alpine`), runs as the built-in `node` user (UID 1000), on `claude-internal` only
-- **`webui`** — Claude Code in a browser terminal via ttyd (`node:20-alpine`), `node` user (UID 1000), on `claude-internal` only, port 7681
 - **`proxy`** — Squid forward proxy (`alpine:3.21`), bridges `claude-internal` ↔ internet with egress allowlist
 - **`claude-internal`** — `internal: true`; no default gateway, containers cannot reach the internet directly
 - **`proxy-external`** — Standard bridge; proxy sidecar only
@@ -84,40 +81,15 @@ Port 54545 must be reachable from your browser for the OAuth callback:
 sbx ports <sandbox-name> --publish 54545:54545/tcp
 ```
 
-Then run `./claude.sh run` and follow the prompt. Credentials are stored in the
+Then run `./claude.sh start` and follow the prompt. Credentials are stored in
-`claude-config` Docker volume and reused on every subsequent run.
+`~/.claude` on the host and reused on every subsequent run.
 
 ## Usage
 
-### CLI mode
-
 ```bash
-# Start proxy, launch Claude Code in the current directory
+# Start proxy, pull latest images, launch Claude Code in the current directory
-# (pulls images from registry.zeidler.dev on first run)
 cd ~/myproject
 ./claude.sh start
-
-# Start proxy if needed, launch Claude Code
-./claude.sh run
-```
-
-### Web interface
-
-Serves Claude Code as a browser terminal via [ttyd](https://github.com/tsl0922/ttyd), protected by HTTP basic auth.
-
-```bash
-# Add to .env first:
-# WEBUI_PASSWORD=your-strong-password
-# WEBUI_USER=claude   # optional, defaults to "claude"
-
-./claude.sh web
-# → Web interface running at http://0.0.0.0:7681
-
-# To reach it from outside the sandbox host:
-sbx ports <sandbox-name> --publish 7681:7681/tcp
-
-# Stop web interface (keeps proxy running)
-./claude.sh web-stop
 ```
 
 ### Other commands
@@ -126,27 +98,19 @@ sbx ports <sandbox-name> --publish 7681:7681/tcp
 ./claude.sh stop          # Stop and remove all containers
 ./claude.sh update        # Pull latest images from the registry
 ./claude.sh logs          # Tail proxy logs
-./claude.sh logs webui    # Tail web interface logs
 ./claude.sh status        # Show container status
 ./claude.sh shell         # Debug bash shell in the Claude container
 ```
 
 ### Building locally
 
-`build.sh` builds both images from source using the local Dockerfiles:
+`build.sh` builds images from source using the local Dockerfiles:
 
 ```bash
 ./build.sh              # build with layer cache
 ./build.sh --no-cache   # force full rebuild
 ```
 
-### Workspace
-
-| Mode | Workspace |
-|---|---|
-| CLI (`run`/`start`) | Current working directory (mounted as `/workspace`) |
-| Web (`web`) | Named Docker volume (`claude-web-workspace`) |
-
 ## Egress allowlist
 
 Edit `proxy/squid.conf` and add domains to the `allowed_sites` ACL:
@@ -161,18 +125,16 @@ acl allowed_sites dstdomain statsig.anthropic.com
 Rebuild after changes:
 
 ```bash
-./claude.sh update
 ./claude.sh stop && ./claude.sh start
 ```
 
 ## Security controls
 
-| Control | claude / webui | proxy |
+| Control | claude | proxy |
 |---|---|---|
 | Non-root user | UID 1000 (`node`, built into base image) | `squid` user |
 | `no-new-privileges` | yes | yes |
 | All capabilities dropped | yes | yes |
 | Direct internet access | no (`internal` network only) | allowlisted only |
-| Host filesystem | CWD mounted as `/workspace` (CLI only) | none |
+| Host filesystem | CWD mounted as `/workspace` | none |
 | Docker socket | not mounted | not mounted |
-| Web auth | basic auth (ttyd `--credential`) | n/a |