fix(lib): parse object-shaped container tag profile entries

The profile endpoint returns entries shaped like { id, memory, ... },
but the $fetch output schema expected string[] and threw for every
non-empty profile.

Add shared ProfileEntrySchema and ContainerTagProfileResponseSchema,
keep unknown fields, and cover object-shaped and empty profiles.

Refs #1849

packages/lib/api.ts

@@ -7,6 +7,7 @@ import {
 	BulkDeleteMemoriesResponseSchema,
 	BulkDeleteMemoriesSchema,
 	ConnectionResponseSchema,
+	ContainerTagProfileResponseSchema,
 	ContainerTagSettingsUpdateSchema,
 	CreateProjectSchema,
 	DeleteProjectResponseSchema,
@@ -312,12 +313,7 @@ export const apiSchema = createSchema({
 		output: ListContainerTagsResponseSchema,
 	},
 	"@get/container-tags/:containerTag/profile": {
-		output: z.object({
-			profile: z.object({
-				static: z.array(z.string()).optional(),
-				dynamic: z.array(z.string()).optional(),
-			}),
-		}),
+		output: ContainerTagProfileResponseSchema,
 		params: z.object({
 			containerTag: z.string(),
 		}),

packages/validation/api.test.ts

@@ -2,6 +2,7 @@ import { describe, expect, it } from "bun:test"
 import { readFileSync } from "node:fs"
 import {
 	BulkDeleteMemoriesSchema,
+	ContainerTagProfileResponseSchema,
 	DocumentsWithMemoriesQuerySchema,
 	ListMemoriesQuerySchema,
 	SearchRequestSchema,
@@ -175,3 +176,61 @@ describe("pagination query schemas", () => {
 		expect(BulkDeleteMemoriesSchema.safeParse(ok).success).toBe(true)
 	})
 })
+
+describe("ContainerTagProfileResponseSchema", () => {
+	const entry = {
+		id: "mem_123",
+		memory: "Nora owns the billing pipeline.",
+		isStatic: true,
+		isInference: false,
+		version: 1,
+		sourceCount: 2,
+		rootMemoryId: "mem_root",
+		parentMemoryId: null,
+		createdAt: "2026-10-27T06:52:34.160Z",
+		updatedAt: "2026-10-27T06:52:34.160Z",
+		metadata: { temporalContext: { documentDate: "2026-10-27" } },
+	}
+
+	it("parses the object-shaped entries returned by the API", () => {
+		const parsed = ContainerTagProfileResponseSchema.parse({
+			profile: {
+				static: [entry],
+				dynamic: [{ ...entry, isStatic: false, id: "mem_456" }],
+			},
+		})
+
+		expect(parsed.profile.static?.[0]).toMatchObject({
+			id: "mem_123",
+			memory: "Nora owns the billing pipeline.",
+			isStatic: true,
+			sourceCount: 2,
+		})
+		expect(parsed.profile.dynamic?.[0]?.id).toBe("mem_456")
+	})
+
+	it("preserves unknown entry and profile fields", () => {
+		const parsed = ContainerTagProfileResponseSchema.parse({
+			profile: {
+				static: [{ ...entry, futureEntryField: "kept" }],
+				buckets: { work: [entry] },
+			},
+		})
+
+		expect(
+			(parsed.profile.static?.[0] as Record<string, unknown>).futureEntryField,
+		).toBe("kept")
+		expect((parsed.profile as Record<string, unknown>).buckets).toEqual({
+			work: [entry],
+		})
+	})
+
+	it("accepts an empty profile", () => {
+		const parsed = ContainerTagProfileResponseSchema.parse({
+			profile: { static: [], dynamic: [] },
+		})
+
+		expect(parsed.profile.static).toEqual([])
+		expect(parsed.profile.dynamic).toEqual([])
+	})
+})

packages/validation/api.ts

@@ -1471,6 +1471,31 @@ export const BulkDeleteMemoriesResponseSchema = z
 		description: "Response for bulk memory deletion",
 	})
 
+export const ProfileEntrySchema = z
+	.object({
+		id: z.string(),
+		memory: z.string(),
+		isStatic: z.boolean().optional(),
+		isInference: z.boolean().optional(),
+		version: z.number().optional(),
+		sourceCount: z.number().optional(),
+		rootMemoryId: z.string().nullable().optional(),
+		parentMemoryId: z.string().nullable().optional(),
+		createdAt: z.string().optional(),
+		updatedAt: z.string().optional(),
+		metadata: z.record(z.unknown()).nullable().optional(),
+	})
+	.passthrough()
+
+export const ContainerTagProfileResponseSchema = z.object({
+	profile: z
+		.object({
+			static: z.array(ProfileEntrySchema).optional(),
+			dynamic: z.array(ProfileEntrySchema).optional(),
+		})
+		.passthrough(),
+})
+
 export const ContainerTagListTypeSchema = z
 	.object({
 		id: z.string().openapi({