feat(ui/agents): add CloudAgent type definitions

Mirrors the API spec from LIT-2877 (Epic A). Single source of truth for
the dashboard so components don't redefine shapes inline. Namespaced
`Cloud*` to avoid colliding with the legacy proxy-side Agent type.

ui/litellm-dashboard/src/types/cloud-agents.ts

@@ -0,0 +1,114 @@
+/**
+ * Type definitions for the cloud-agents (Cursor SDK on LiteLLM) dashboard.
+ *
+ * These mirror the API spec from LIT-2877 (Epic A). When the backend lands,
+ * this file is the single source of truth — components should import from
+ * here, not redefine shapes inline.
+ *
+ * Namespaced as `Cloud*` to avoid colliding with the existing legacy
+ * proxy-side `Agent` type at `src/components/agents/types.ts`.
+ */
+
+export type CloudAgentSessionStatus =
+  | "provisioning"
+  | "running"
+  | "paused"
+  | "completed"
+  | "failed";
+
+export interface CloudAgent {
+  agent_id: string;
+  name: string;
+  model: string;
+  system_prompt: string;
+  session_count: number;
+  last_activity_at: string | null;
+  created_at: string;
+}
+
+export interface CloudAgentSession {
+  session_id: string;
+  agent_id: string;
+  repo_url: string;
+  branch: string;
+  status: CloudAgentSessionStatus;
+  title: string;
+  active_run_id: string | null;
+  created_at: string;
+  updated_at: string;
+}
+
+export interface CloudAgentRunGitBranch {
+  name: string;
+  base: string;
+}
+
+export interface CloudAgentRunGit {
+  branches: CloudAgentRunGitBranch[];
+  pr_url: string | null;
+}
+
+export interface CloudAgentRun {
+  run_id: string;
+  session_id: string;
+  status: CloudAgentSessionStatus;
+  created_at: string;
+  terminated_at: string | null;
+  git: CloudAgentRunGit;
+}
+
+export type CloudAgentConversationRole = "user" | "assistant" | "tool" | "system";
+
+export interface CloudAgentConversationMessage {
+  id: string;
+  role: CloudAgentConversationRole;
+  content: string;
+  tool_name?: string;
+  created_at: string;
+}
+
+/**
+ * Event types emitted on the SSE stream from the proxy. The shape of `payload`
+ * varies by `type` — keep the discriminated union loose here so we can refine
+ * per-component without churning every callsite.
+ */
+export type CloudAgentRunEventType =
+  | "user_message"
+  | "assistant_message"
+  | "tool_call"
+  | "tool_result"
+  | "terminal_chunk"
+  | "file_diff"
+  | "git_commit"
+  | "pr_opened"
+  | "run_started"
+  | "run_completed";
+
+export interface CloudAgentRunEvent {
+  seq: number;
+  type: CloudAgentRunEventType;
+  payload: Record<string, unknown>;
+  created_at: string;
+}
+
+export interface FileDiffPayload {
+  path: string;
+  additions: number;
+  deletions: number;
+  patch: string;
+}
+
+export interface TerminalChunkPayload {
+  text: string;
+}
+
+export interface GitCommitPayload {
+  sha: string;
+  message: string;
+  branch: string;
+}
+
+export interface ToolCallPayload {
+  tool: string;
+  input: string;
+}