Move definition of public instances to ReactNativePrivateInterface (facebook#32446)

Summary:
## Summary

> [!NOTE]
> This only modifies types, so shouldn't have an impact at runtime.

Some time ago we moved some type definitions from React to React Native
in facebook#26437.

This continues making progress on that so values that are created by
React Native and passed to the React renderer (in this case public
instances) are actually defined in React Native and not in React.

This will allow us to modify the definition of some of these types
without having to make changes in the React repository (in the short
term, we want to refactor PublicInstance from an object to an interface,
and then modify that interface to add all the new DOM methods).

## How did you test this change?

Manually synced `ReactNativeTypes` on top of
facebook#49602 and verified Flow
passes.

DiffTrain build for [9dd378ff1222335ff133bab2d61001fcc84a1c56](facebook/react@9dd378f)

Differential Revision: D70091830

Author: rubennorte

packages/react-native/Libraries/Renderer/shims/ReactNativeTypes.js

@@ -7,41 +7,25 @@
  * @noformat
  * @nolint
  * @flow strict
- * @generated SignedSource<<de5df78e34b3d51e1cc9efbc4e79c1d8>>
+ * @generated SignedSource<<5c76b092e0c981f96ca894e381ee593b>>
  */
 
 import type {
   Component as ReactComponent,
   ElementRef,
   ElementType,
   MixedElement,
-  RefSetter,
 } from 'react';
-// $FlowFixMe[nonstrict-import] TODO(@rubennorte)
-import {type PublicRootInstance} from 'react-native/Libraries/ReactPrivate/ReactNativePrivateInterface';
-
-export type MeasureOnSuccessCallback = (
-  x: number,
-  y: number,
-  width: number,
-  height: number,
-  pageX: number,
-  pageY: number,
-) => void;
-
-export type MeasureInWindowOnSuccessCallback = (
-  x: number,
-  y: number,
-  width: number,
-  height: number,
-) => void;
-
-export type MeasureLayoutOnSuccessCallback = (
-  left: number,
-  top: number,
-  width: number,
-  height: number,
-) => void;
+import type {
+  // $FlowFixMe[nonstrict-import] TODO(@rubennorte)
+  MeasureOnSuccessCallback,
+  // $FlowFixMe[nonstrict-import] TODO(@rubennorte)
+  PublicInstance,
+  // $FlowFixMe[nonstrict-import] TODO(@rubennorte)
+  PublicRootInstance,
+  // $FlowFixMe[nonstrict-import] TODO(@rubennorte)
+  PublicTextInstance,
+} from 'react-native/Libraries/ReactPrivate/ReactNativePrivateInterface';
 
 export type AttributeType<T, V> =
   | true
@@ -107,45 +91,6 @@ export type PartialViewConfig = $ReadOnly<{
   validAttributes?: PartialAttributeConfiguration,
 }>;
 
-/**
- * Current usages should migrate to this definition
- */
-export interface INativeMethods {
-  blur(): void;
-  focus(): void;
-  measure(callback: MeasureOnSuccessCallback): void;
-  measureInWindow(callback: MeasureInWindowOnSuccessCallback): void;
-  measureLayout(
-    relativeToNativeNode: number | HostInstance,
-    onSuccess: MeasureLayoutOnSuccessCallback,
-    onFail?: () => void,
-  ): void;
-  setNativeProps(nativeProps: {...}): void;
-}
-
-export type NativeMethods = $ReadOnly<{
-  blur(): void,
-  focus(): void,
-  measure(callback: MeasureOnSuccessCallback): void,
-  measureInWindow(callback: MeasureInWindowOnSuccessCallback): void,
-  measureLayout(
-    relativeToNativeNode: number | HostInstance,
-    onSuccess: MeasureLayoutOnSuccessCallback,
-    onFail?: () => void,
-  ): void,
-  setNativeProps(nativeProps: {...}): void,
-}>;
-
-// This validates that INativeMethods and NativeMethods stay in sync using Flow!
-declare const ensureNativeMethodsAreSynced: NativeMethods;
-(ensureNativeMethodsAreSynced: INativeMethods);
-
-export type HostInstance = NativeMethods;
-export type HostComponent<Config: {...}> = component(
-  ref: RefSetter<HostInstance>,
-  ...Config
-);
-
 type InspectorDataProps = $ReadOnly<{
   [propName: string]: string,
   ...
@@ -212,20 +157,17 @@ export type RenderRootOptions = {
 export type ReactNativeType = {
   findHostInstance_DEPRECATED<TElementType: ElementType>(
     componentOrHandle: ?(ElementRef<TElementType> | number),
-  ): ?HostInstance,
+  ): ?PublicInstance,
   findNodeHandle<TElementType: ElementType>(
     componentOrHandle: ?(ElementRef<TElementType> | number),
   ): ?number,
-  isChildPublicInstance(
-    parent: PublicInstance | HostComponent<empty>,
-    child: PublicInstance | HostComponent<empty>,
-  ): boolean,
+  isChildPublicInstance(parent: PublicInstance, child: PublicInstance): boolean,
   dispatchCommand(
-    handle: HostInstance,
+    handle: PublicInstance,
     command: string,
     args: Array<mixed>,
   ): void,
-  sendAccessibilityEvent(handle: HostInstance, eventType: string): void,
+  sendAccessibilityEvent(handle: PublicInstance, eventType: string): void,
   render(
     element: MixedElement,
     containerTag: number,
@@ -240,23 +182,21 @@ export type ReactNativeType = {
 
 export opaque type Node = mixed;
 export opaque type InternalInstanceHandle = mixed;
-type PublicInstance = mixed;
-type PublicTextInstance = mixed;
 
 export type ReactFabricType = {
   findHostInstance_DEPRECATED<TElementType: ElementType>(
     componentOrHandle: ?(ElementRef<TElementType> | number),
-  ): ?HostInstance,
+  ): ?PublicInstance,
   findNodeHandle<TElementType: ElementType>(
     componentOrHandle: ?(ElementRef<TElementType> | number),
   ): ?number,
   dispatchCommand(
-    handle: HostInstance,
+    handle: PublicInstance,
     command: string,
     args: Array<mixed>,
   ): void,
   isChildPublicInstance(parent: PublicInstance, child: PublicInstance): boolean,
-  sendAccessibilityEvent(handle: HostInstance, eventType: string): void,
+  sendAccessibilityEvent(handle: PublicInstance, eventType: string): void,
   render(
     element: MixedElement,
     containerTag: number,