feat(mcp): implement 19 scene query and mutation tools

Scene querying: get_scene, get_node, describe_node, find_nodes, measure.
Scene mutation (undoable, atomic): apply_patch, create_level, create_wall,
place_item, cut_opening, set_zone, duplicate_level, delete_node.
Undo/redo: undo, redo.
Export: export_json, export_glb (not_implemented stub).
Validation: validate_scene, check_collisions.

Each tool has:
- Exported Zod input + output schemas
- register<Tool>(server, bridge) wiring function
- Bun test with happy-path + error-path coverage via InMemoryTransport

59 tool tests, all passing end-to-end through MCP protocol.

Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>

packages/mcp/src/tools/measure.test.ts

@@ -0,0 +1,71 @@
+import { beforeEach, describe, expect, test } from 'bun:test'
+import { Client } from '@modelcontextprotocol/sdk/client/index.js'
+import { InMemoryTransport } from '@modelcontextprotocol/sdk/inMemory.js'
+import { McpServer } from '@modelcontextprotocol/sdk/server/mcp.js'
+import { WallNode, ZoneNode } from '@pascal-app/core/schema'
+import { SceneBridge } from '../bridge/scene-bridge'
+import { registerMeasure } from './measure'
+
+describe('measure', () => {
+  let client: Client
+  let bridge: SceneBridge
+
+  beforeEach(async () => {
+    bridge = new SceneBridge()
+    bridge.setScene({}, [])
+    bridge.loadDefault()
+    const server = new McpServer({ name: 'test', version: '0.0.0' })
+    registerMeasure(server, bridge)
+    const [srvT, cliT] = InMemoryTransport.createLinkedPair()
+    client = new Client({ name: 'test-client', version: '0.0.0' })
+    await Promise.all([server.connect(srvT), client.connect(cliT)])
+  })
+
+  test('computes distance between two wall midpoints', async () => {
+    const level = Object.values(bridge.getNodes()).find((n) => n.type === 'level')!
+    const a = WallNode.parse({ start: [0, 0], end: [2, 0] })
+    const b = WallNode.parse({ start: [10, 0], end: [12, 0] })
+    bridge.createNode(a, level.id)
+    bridge.createNode(b, level.id)
+
+    const result = await client.callTool({
+      name: 'measure',
+      arguments: { fromId: a.id, toId: b.id },
+    })
+    const parsed = JSON.parse((result.content as Array<{ type: string; text: string }>)[0]!.text)
+    // Midpoint a = (1,0,0); midpoint b = (11,0,0) — distance 10.
+    expect(parsed.distanceMeters).toBeCloseTo(10, 5)
+    expect(parsed.units).toBe('meters')
+  })
+
+  test('computes zone area via shoelace for self-measurement', async () => {
+    const level = Object.values(bridge.getNodes()).find((n) => n.type === 'level')!
+    // 4x4 square centred at origin — area 16.
+    const zone = ZoneNode.parse({
+      name: 'Kitchen',
+      polygon: [
+        [-2, -2],
+        [2, -2],
+        [2, 2],
+        [-2, 2],
+      ],
+    })
+    bridge.createNode(zone, level.id)
+
+    const result = await client.callTool({
+      name: 'measure',
+      arguments: { fromId: zone.id, toId: zone.id },
+    })
+    const parsed = JSON.parse((result.content as Array<{ type: string; text: string }>)[0]!.text)
+    expect(parsed.distanceMeters).toBe(0)
+    expect(parsed.areaSqMeters).toBeCloseTo(16, 5)
+  })
+
+  test('errors on unknown id', async () => {
+    const result = await client.callTool({
+      name: 'measure',
+      arguments: { fromId: 'wall_nope', toId: 'wall_nope2' },
+    })
+    expect(result.isError).toBe(true)
+  })
+})