[FEATURE] Allow /rename to dispatch from thin clients (phone / web) during Remote Control

Summary

/rename cannot be invoked from the Claude mobile app or claude.ai/code
while controlling a claude --remote-control session. Sending /rename foo
from the phone is delivered as a plain user message instead of executing
the local rename command, so the session title stays unchanged.

(Note: this is distinct from the web-UI "rename session" affordance that
landed in v2.1.110 — that path works. The gap is specifically the
/rename slash command typed into the phone/web input bar.)

The command itself already ships with a non-interactive variant
(type:"local", supportsNonInteractive:true) in addition to the
local-jsx (Ink) one — only the thinClientDispatch property is missing
on the slash-command definition, which is what gates remote dispatch.

Reproduction

1. On macOS, run claude --remote-control in Terminal.
2. Open the Claude mobile app → Code tab → attach to the session.
3. From the phone, send /rename my-session.

Expected: session title changes (same as typing /rename my-session
in the local terminal).
Actual: the text is treated as a user message; no rename happens.

Why this looks like a missing property

Auditing v2.1.143 (~/.local/share/claude/versions/2.1.143), the
following twelve built-ins declare thinClientDispatch and consequently
work from the phone:

• control-request: /btw, /context, /usage, /fast, /model,

/effort, /reload-plugins

• post-text: /clear, /compact, /goal, /recap, /toggle-memory

/rename (and /color) define both a local-jsx and a local variant
but neither carries thinClientDispatch, so the bridge never routes them.

/goal is the closest precedent — same dual-variant shape — and uses
thinClientDispatch:"post-text" on its local variant. Adopting the
same pattern for /rename should be sufficient.

Suggested fix

Add thinClientDispatch:"post-text" to the local variant of /rename
(and ideally /color for symmetry).

Environment

• Claude Code: 2.1.143
• OS: macOS 15.4 (Darwin 25.4.0)
• Shell: zsh
• Phone client: Claude iOS app, Code tab → Remote Control