feat: add process management support (#207)

* feat: improve inspector UI for processes and fix PTY terminal

- Simplify ProcessRunTab layout: compact form with collapsible Advanced section for timeout/maxOutputBytes
- Rewrite ProcessesTab: collapsible create form, lightweight list items with status dots, clean detail panel with tabs
- Extract error details: use problem.detail instead of generic "Stream Error" title for better error messages
- Fix GhosttyTerminal binary frame parsing: handle server's binary ArrayBuffer control frames (ready/exit/error)
- Enable WebSocket proxying in Vite dev server with ws: true
- Set TERM=xterm-256color default for TTY processes so tools like tmux, vim, htop work out of the box
- Remove orange gradient background from terminal container for cleaner look
- Remove orange left border from selected process list items
- Update inspector CSS with new process/terminal styles

Co-Authored-By: Claude Haiku 4.5 <noreply@anthropic.com>

* fix: address review issues and add processes documentation

- Fix unstable onExit callback in ProcessesTab (useCallback)
- Fix SSE follow stream race condition (subscribe before history read)
- Update inspector.mdx with new process management features
- Change observability icon to avoid conflict with processes
- Add docs/processes.mdx covering the full process management API

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

* docs: simplify processes doc — rename sections, remove low-level protocol

- Rename "Interactive terminals" to "Terminals" with "Connect to a terminal" sub-heading
- Add TTY process creation step at top of Terminals section
- Remove low-level WebSocket protocol table and raw WebSocket example
- Keep browser terminal emulator reference with Ghostty link

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

* docs: update GhosttyTerminal permalink to latest commit

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

* docs: use main branch permalink for GhosttyTerminal reference

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

* feat: refine process API — WebSocket binary protocol, SDK terminal session, updated tests

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

* docs: update GhosttyTerminal permalink to 636eefb

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

* inspector: use websocket terminal API

* sdk: restore high-level terminal session

* docs: update inspector terminal permalink

* inspector: update run once placeholder

* Fix lazy install v1 API test fixture

* Add reusable React terminal component

* Fix terminal WebSocket ready state checks

---------

Co-authored-by: Claude Haiku 4.5 <noreply@anthropic.com>

pnpm-lock.yaml

@@ -434,6 +434,9 @@ importers:
         specifier: ^18.3.1
         version: 18.3.1(react@18.3.1)
     devDependencies:
+      '@sandbox-agent/react':
+        specifier: workspace:*
+        version: link:../../../sdks/react
       '@types/react':
         specifier: ^18.3.3
         version: 18.3.27
@@ -768,6 +771,28 @@ importers:
         specifier: ^3.0.0
         version: 3.2.4(@types/debug@4.1.12)(@types/node@22.19.7)(jiti@1.21.7)(tsx@4.21.0)(yaml@2.8.2)
 
+  sdks/react:
+    dependencies:
+      ghostty-web:
+        specifier: ^0.4.0
+        version: 0.4.0
+    devDependencies:
+      '@types/react':
+        specifier: ^18.3.3
+        version: 18.3.27
+      react:
+        specifier: ^18.3.1
+        version: 18.3.1
+      sandbox-agent:
+        specifier: workspace:*
+        version: link:../typescript
+      tsup:
+        specifier: ^8.0.0
+        version: 8.5.1(jiti@1.21.7)(postcss@8.5.6)(tsx@4.21.0)(typescript@5.9.3)(yaml@2.8.2)
+      typescript:
+        specifier: ^5.7.0
+        version: 5.9.3
+
   sdks/typescript:
     dependencies:
       '@sandbox-agent/cli-shared':
@@ -3723,6 +3748,9 @@ packages:
   get-tsconfig@4.13.0:
     resolution: {integrity: sha512-1VKTZJCwBrvbd+Wn3AOgQP/2Av+TfTCOlE4AcRJE72W1ksZXbAx8PPBR9RzgTeSPzlPMHrbANMH3LbltH73wxQ==}
 
+  ghostty-web@0.4.0:
+    resolution: {integrity: sha512-0puDBik2qapbD/QQBW9o5ZHfXnZBqZWx/ctBiVtKZ6ZLds4NYb+wZuw1cRLXZk9zYovIQ908z3rvFhexAvc5Hg==}
+
   github-from-package@0.0.0:
     resolution: {integrity: sha512-SyHy3T1v2NUXn29OsWdxmK6RwHD+vkj3v8en8AOBZ1wBQ/hCAQ5bAQTD02kW4W9tUp/3Qh6J8r9EvntiyCmOOw==}
 
@@ -8020,14 +8048,6 @@ snapshots:
       chai: 5.3.3
       tinyrainbow: 2.0.0
 
-  '@vitest/mocker@3.2.4(vite@5.4.21(@types/node@22.19.7))':
-    dependencies:
-      '@vitest/spy': 3.2.4
-      estree-walker: 3.0.3
-      magic-string: 0.30.21
-    optionalDependencies:
-      vite: 5.4.21(@types/node@22.19.7)
-
   '@vitest/mocker@3.2.4(vite@5.4.21(@types/node@25.3.5))':
     dependencies:
       '@vitest/spy': 3.2.4
@@ -9032,6 +9052,8 @@ snapshots:
     dependencies:
       resolve-pkg-maps: 1.0.0
 
+  ghostty-web@0.4.0: {}
+
   github-from-package@0.0.0: {}
 
   github-slugger@2.0.0: {}
@@ -11085,7 +11107,7 @@ snapshots:
     dependencies:
       '@types/chai': 5.2.3
       '@vitest/expect': 3.2.4
-      '@vitest/mocker': 3.2.4(vite@5.4.21(@types/node@22.19.7))
+      '@vitest/mocker': 3.2.4(vite@5.4.21(@types/node@25.3.5))
       '@vitest/pretty-format': 3.2.4
       '@vitest/runner': 3.2.4
       '@vitest/snapshot': 3.2.4