동의 게이트와 런타임 안정화

apps/web/src/lib/api.ts

@@ -161,6 +161,11 @@ export interface MeResponse {
   display_name: string;
   role: string; // "learner" | "teacher" | "admin"
   cohort_ids: string[];
+  consent_at: number | null;
+}
+
+export interface ConsentResponse {
+  consent_at: number | null;
 }
 
 export interface AuthConfigResponse {
@@ -179,6 +184,8 @@ export interface AuthConfigResponse {
 
 export const authApi = {
   config: () => api.get<AuthConfigResponse>("/auth/config"),
+  acceptConsent: () => api.post<ConsentResponse>("/auth/consent", { accepted: true }),
+  withdrawConsent: () => api.del<ConsentResponse>("/auth/consent"),
 };
 
 export type SessionStage = "라포" | "탐색" | "개입" | "정리";