feat(web): wire workspaces settings page to real API (MS21-UI-003) (#574)

Co-authored-by: Jason Woltje <jason@diversecanvas.com>
Co-committed-by: Jason Woltje <jason@diversecanvas.com>

apps/web/src/lib/auth/auth-context.test.tsx

@@ -3,6 +3,7 @@ import { describe, it, expect, vi, beforeEach, afterEach } from "vitest";
 import { render, screen, waitFor } from "@testing-library/react";
 import { AuthProvider, useAuth } from "./auth-context";
 import type { AuthUser } from "@mosaic/shared";
+import { WorkspaceMemberRole } from "@mosaic/shared";
 
 // Mock the API client
 vi.mock("../api/client", () => ({
@@ -761,7 +762,7 @@ describe("AuthContext", (): void => {
           id: "ws-1",
           name: "My Workspace",
           ownerId: "user-1",
-          role: "OWNER",
+          role: WorkspaceMemberRole.OWNER,
           createdAt: "2026-01-01",
         },
       ]);
@@ -795,14 +796,14 @@ describe("AuthContext", (): void => {
           id: "ws-abc-123",
           name: "My Workspace",
           ownerId: "user-1",
-          role: "OWNER",
+          role: WorkspaceMemberRole.OWNER,
           createdAt: "2026-01-01",
         },
         {
           id: "ws-def-456",
           name: "Second Workspace",
           ownerId: "other",
-          role: "MEMBER",
+          role: WorkspaceMemberRole.MEMBER,
           createdAt: "2026-02-01",
         },
       ]);
@@ -892,7 +893,7 @@ describe("AuthContext", (): void => {
           id: "ws-1",
           name: "My Workspace",
           ownerId: "user-1",
-          role: "OWNER",
+          role: WorkspaceMemberRole.OWNER,
           createdAt: "2026-01-01",
         },
       ]);