feat: add feature to monitor background agents (#125)

Also includes a fix to persist configuration across reconnects.

Reviewed-on: #125
Co-authored-by: Naomi Carrigan <commits@nhcarrigan.com>
Co-committed-by: Naomi Carrigan <commits@nhcarrigan.com>

src/lib/components/InputBar.svelte

@@ -355,6 +355,10 @@ User: ${formattedMessage}`;
             conversationId,
             options: {
               working_dir: workingDir,
+              model: config.model || null,
+              api_key: config.api_key || null,
+              custom_instructions: config.custom_instructions || null,
+              mcp_servers_json: config.mcp_servers_json || null,
               allowed_tools: allAllowedTools,
             },
           });