Remove deprecated InteractionManager

Summary:
`InteractionManager` has been marked as deprecated and has emitted a runtime warning on first access for several releases. Remove it from the public API.

Accessing `InteractionManager` from `react-native` now throws a `__DEV__` invariant with a migration message pointing at `requestIdleCallback`, mirroring the pattern already used for other previously-removed legacy modules.

The recommended migration is to refactor long tasks into smaller chunks and use `requestIdleCallback` / `cancelIdleCallback` instead of `runAfterInteractions` / `handle.cancel()`.

Changes:
- Remove the lazy getter from `index.js` and replace it with a `__DEV__` invariant stub.
- Remove the `Handle`, `PromiseTask`, `SimpleTask` type re-exports and the `InteractionManager` default re-export from `index.js.flow`.
- Delete `Libraries/Interaction/InteractionManager.js` and its `.d.ts`. The parent `Libraries/Interaction/` directory is kept — `PanResponder`, `TouchHistoryMath`, and `FrameRateLogger` continue to live there.

Changelog:
[General][Removed] - Remove deprecated `InteractionManager` (use `requestIdleCallback` instead)

Differential Revision: D106640958

Author: rubennorte

packages/react-native/Libraries/Interaction/InteractionManager.d.ts

@@ -4,7 +4,7 @@
  * This source code is licensed under the MIT license found in the
  * LICENSE file in the root directory of this source tree.
  *
- * @generated SignedSource<<a438af540f18c77572f05cef9481b7a6>>
+ * @generated SignedSource<<6996c96aed9284cd96a6fa1c64d7df71>>
  *
  * This file was generated by scripts/js-api/build-types/index.js.
  */
@@ -249,30 +249,6 @@ declare const I18nManager: {
 declare const Image: ImageType
 declare const InputAccessoryView: typeof InputAccessoryView_default
 declare const InputAccessoryView_default: React.ComponentType<InputAccessoryViewProps>
-declare const InteractionManager: typeof InteractionManagerStub_default
-declare const InteractionManagerStub_default: {
-  Events: {
-    interactionComplete: "interactionComplete"
-    interactionStart: "interactionStart"
-  }
-  addListener(
-    eventType: string,
-    listener: (...args: any) => unknown,
-    context: unknown,
-  ): EventSubscription
-  clearInteractionHandle(handle: Handle): void
-  createInteractionHandle(): Handle
-  runAfterInteractions(task: null | Task | undefined): {
-    cancel: () => void
-    then: <U>(
-      onFulfill?:
-        | (($$PARAM_0$$: void) => (Promise<U> | U) | undefined)
-        | undefined,
-      onReject?: ((error: unknown) => (Promise<U> | U) | undefined) | undefined,
-    ) => Promise<U>
-  }
-  setDeadline(deadline: number): void
-}
 declare const Keyboard: typeof Keyboard_default
 declare const Keyboard_default: KeyboardImpl
 declare const LayoutAnimation: typeof LayoutAnimation_default
@@ -2476,7 +2452,6 @@ declare function getWithFallback_DEPRECATED<Config extends {}>(
   viewConfigProvider: () => PartialViewConfig,
 ): React.ComponentType<Config>
 declare type hairlineWidth = typeof hairlineWidth
-declare type Handle = number
 declare interface HardwareBackPressEvent {
   readonly timeStamp: number
   readonly type: string
@@ -2757,7 +2732,6 @@ declare type InstanceHandle =
   | ReactNativeDocumentElementInstanceHandle
   | ReactNativeDocumentInstanceHandle
 declare type Int32 = number
-declare type InteractionManager = typeof InteractionManager
 declare type InternalInstanceHandle = symbol & {
   __InternalInstanceHandle__: string
 }
@@ -3876,10 +3850,6 @@ declare type ProgressBarAndroidProps =
         ProgressBarAndroidBaseProps &
         IndeterminateProgressBarAndroidStyleAttrProp
     >
-declare type PromiseTask = {
-  name: string
-  gen: () => Promise<void>
-}
 declare type PublicModalInstance = HostInstance
 declare type PublicRootInstance = symbol & {
   __PublicRootInstance__: string
@@ -4715,10 +4685,6 @@ declare type ShareOptions = {
   subject?: string
   tintColor?: ColorValue
 }
-declare type SimpleTask = {
-  name: string
-  run: () => void
-}
 declare interface Spec extends TurboModule {
   readonly getConstants: () => {
     readonly buttonClicked: DialogAction
@@ -5056,7 +5022,6 @@ declare type TargetedEvent = {
 declare type TargetEvent = {
   readonly target: number
 }
-declare type Task = (() => void) | PromiseTask | SimpleTask
 declare type TaskCanceller = () => void
 declare type TaskCancelProvider = () => TaskCanceller
 declare type TaskProvider = () => HeadlessTask
@@ -6061,7 +6026,6 @@ export {
   FontVariant, // 7c7558bb
   GestureResponderEvent, // f693e9a5
   GestureResponderHandlers, // cc70e4cb
-  Handle, // 2d65285d
   HostComponent, // 16fccab5
   HostInstance, // 9b5a9ec2
   I18nManager, // f9870e00
@@ -6089,7 +6053,6 @@ export {
   InputAccessoryViewProps, // ac36060b
   InputModeOptions, // 4e8581b9
   Insets, // e7fe432a
-  InteractionManager, // c324d6e3
   KeyDownEvent, // d4971b72
   KeyEvent, // 20fa4267
   KeyUpEvent, // bc6bd87b
@@ -6167,7 +6130,6 @@ export {
   ProcessedColorValue, // 33f74304
   ProgressBarAndroid, // 00fcd180
   ProgressBarAndroidProps, // f59f8f03
-  PromiseTask, // 5102c862
   PublicRootInstance, // 8040afd7
   PublicTextInstance, // cd0d8f8d
   PushNotificationEventName, // 84e7e150
@@ -6213,7 +6175,6 @@ export {
   ShareActionSheetIOSOptions, // eff574f5
   ShareContent, // 7c627896
   ShareOptions, // 800c3a4e
-  SimpleTask, // 0e619d11
   StatusBar, // 875b4eca
   StatusBarAnimation, // 7fd047e6
   StatusBarProps, // b72a9127