feat(shell): dedicated System Analyst AI, no code execution, analyze system

- New ShellConvStore with persistent history (shell_conversation.json)
- 100k token limit — input grays out, must /clear to continue
- Commands limited to /clear and /help only
- Shell AI has NO tools — read-only analysis, never executes code
- "Analyste Système" panel with system analysis button
- System analysis uses Studio AI to write system_analysis.md,
  prepended as context on every conversation start
- Code blocks show "Copier" and "Terminal" buttons to copy or
  send code directly to the active terminal via WebSocket
- Token bar shows usage with warning at 80%

💘 Generated with Crush

Assisted-by: GLM-5.1 via Crush <crush@charm.land>

web/src/api/client.js

@@ -57,6 +57,9 @@ const api = {
   getChatHistory: () => request('/chat/history'),
   clearChat: () => request('/chat/clear', { method: 'POST' }),
   summarizeChat: () => request('/chat/summarize', { method: 'POST' }),
+  getShellChatHistory: () => request('/shell/chat/history'),
+  clearShellChat: () => request('/shell/chat/clear', { method: 'POST' }),
+  analyzeSystem: () => request('/shell/analyze', { method: 'POST' }),
   sendChat: (message, stream = true, onChunk, signal) => {
     if (!stream) {
       return request('/chat', { method: 'POST', body: JSON.stringify({ message, stream: false }) })
@@ -104,8 +107,6 @@ const api = {
   sendShellChat: (message, context = {}, stream = true, onChunk) => {
     const payload = {
       message,
-      context: context.context || '',
-      history: context.history || [],
       cwd: context.cwd || '',
       platform: context.platform || '',
       stream,
@@ -127,7 +128,6 @@ const api = {
         const reader = res.body.getReader()
         const decoder = new TextDecoder()
         let full = ''
-        let toolCalls = []
         while (true) {
           const { done, value } = await reader.read()
           if (done) break
@@ -137,27 +137,15 @@ const api = {
             try {
               const data = JSON.parse(line.slice(6))
               if (data.error) { reject(new Error(data.error)); return }
-              if (data.done) {
-                resolve({ content: full, tool_calls: toolCalls })
-                return
-              }
+              if (data.done) { resolve({ content: full, tokens: data.tokens }); return }
               if (data.content) {
-                full += data.content
+                full = data.content
                 if (onChunk) onChunk(full, data)
-              } else if (data.tool_call) {
-                toolCalls.push(data.tool_call)
-                if (onChunk) onChunk(full, data, toolCalls)
-              } else if (data.tool_result) {
-                const idx = toolCalls.findIndex(tc => tc.tool_call_id === data.tool_result.id)
-                if (idx >= 0) {
-                  toolCalls[idx].result = data.tool_result
-                }
-                if (onChunk) onChunk(full, data, toolCalls)
               }
             } catch {}
           }
         }
-        resolve({ content: full, tool_calls: toolCalls })
+        resolve({ content: full })
       }).catch(reject)
     })
   },