refactor: split types.ts into domain modules (phase 4, step 1)

Split 1,443-line types.ts into 14 focused domain files under src/types/:
common.ts, session.ts, task.ts, app-state.ts, respawn.ts, ralph.ts,
api.ts, lifecycle.ts, run-summary.ts, tools.ts, teams.ts, push.ts,
plan.ts, and index.ts barrel.

Moved PlanItem interface from plan-orchestrator.ts into types/plan.ts
to break circular dependency. Original types.ts replaced with barrel
re-export — zero changes to 36 import sites.

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

src/types/teams.ts

@@ -0,0 +1,59 @@
+/**
+ * @fileoverview Agent Teams type definitions
+ */
+
+/** Team configuration from ~/.claude/teams/{name}/config.json */
+export interface TeamConfig {
+  name: string;
+  leadSessionId: string;
+  members: TeamMember[];
+}
+
+/** A single team member (lead or teammate) */
+export interface TeamMember {
+  agentId: string;
+  name: string;
+  agentType: 'team-lead' | 'general-purpose' | string;
+  color?: string;
+  backendType?: string;
+  prompt?: string;
+  tmuxPaneId?: string;
+}
+
+/** A task from ~/.claude/tasks/{team-name}/{N}.json */
+export interface TeamTask {
+  id: string;
+  subject: string;
+  description?: string;
+  activeForm?: string;
+  status: 'pending' | 'in_progress' | 'completed' | string;
+  blocks: string[];
+  blockedBy: string[];
+  owner?: string;
+  metadata?: Record<string, unknown>;
+}
+
+/** An inbox message from ~/.claude/teams/{name}/inboxes/{member}.json */
+export interface InboxMessage {
+  from: string;
+  text: string;
+  timestamp: string;
+  read?: boolean;
+}
+
+/**
+ * Information about a tmux pane within a session.
+ * Used for agent team teammate pane management.
+ */
+export interface PaneInfo {
+  /** Pane ID (e.g., "%0", "%1") — immutable within a tmux session */
+  paneId: string;
+  /** Pane index within the window (0, 1, 2...) */
+  paneIndex: number;
+  /** PID of the process running in the pane */
+  panePid: number;
+  /** Pane width in columns */
+  width: number;
+  /** Pane height in rows */
+  height: number;
+}