Use Bridging umbrella in generated modules (#58486)

Summary:

Generate TurboModule interfaces using the public Bridging C++ entry point so generated consumers remain compatible with the strict API boundary.

Changelog:
[Internal]

Reviewed By: cipolleschi

Differential Revision: D119658518

Author: coado

packages/react-native-codegen/e2e/deep_imports/__tests__/modules/__snapshots__/GenerateModuleH-test.js.snap

@@ -13,7 +13,7 @@ exports[`GenerateModuleH can generate a header file NativeModule specs 1`] = `
 #pragma once
 
 #include <ReactCommon/TurboModule.h>
-#include <react/bridging/Bridging.h>
+#include <React/Bridging.h>
 
 namespace facebook::react {
 
@@ -1610,7 +1610,7 @@ exports[`GenerateModuleH can generate a header file NativeModule specs with assu
 #pragma once
 
 #include <ReactCommon/TurboModule.h>
-#include <react/bridging/Bridging.h>
+#include <React/Bridging.h>
 
 namespace facebook::react {
 

packages/react-native-codegen/src/generators/modules/GenerateModuleH.js

@@ -213,7 +213,7 @@ const FileTemplate = ({
 #pragma once
 
 #include <ReactCommon/TurboModule.h>
-#include <react/bridging/Bridging.h>
+#include <React/Bridging.h>
 
 namespace facebook::react {
 

packages/react-native-codegen/src/generators/modules/__tests__/__snapshots__/GenerateModuleH-test.js.snap

@@ -14,7 +14,7 @@ Map {
 #pragma once
 
 #include <ReactCommon/TurboModule.h>
-#include <react/bridging/Bridging.h>
+#include <React/Bridging.h>
 
 namespace facebook::react {
 
@@ -52,7 +52,7 @@ Map {
 #pragma once
 
 #include <ReactCommon/TurboModule.h>
-#include <react/bridging/Bridging.h>
+#include <React/Bridging.h>
 
 namespace facebook::react {
 
@@ -113,7 +113,7 @@ Map {
 #pragma once
 
 #include <ReactCommon/TurboModule.h>
-#include <react/bridging/Bridging.h>
+#include <React/Bridging.h>
 
 namespace facebook::react {
 
@@ -156,7 +156,7 @@ Map {
 #pragma once
 
 #include <ReactCommon/TurboModule.h>
-#include <react/bridging/Bridging.h>
+#include <React/Bridging.h>
 
 namespace facebook::react {
 
@@ -253,7 +253,7 @@ Map {
 #pragma once
 
 #include <ReactCommon/TurboModule.h>
-#include <react/bridging/Bridging.h>
+#include <React/Bridging.h>
 
 namespace facebook::react {
 
@@ -972,7 +972,7 @@ Map {
 #pragma once
 
 #include <ReactCommon/TurboModule.h>
-#include <react/bridging/Bridging.h>
+#include <React/Bridging.h>
 
 namespace facebook::react {
 
@@ -1010,7 +1010,7 @@ Map {
 #pragma once
 
 #include <ReactCommon/TurboModule.h>
-#include <react/bridging/Bridging.h>
+#include <React/Bridging.h>
 
 namespace facebook::react {
 
@@ -1175,7 +1175,7 @@ Map {
 #pragma once
 
 #include <ReactCommon/TurboModule.h>
-#include <react/bridging/Bridging.h>
+#include <React/Bridging.h>
 
 namespace facebook::react {
 
@@ -1297,7 +1297,7 @@ Map {
 #pragma once
 
 #include <ReactCommon/TurboModule.h>
-#include <react/bridging/Bridging.h>
+#include <React/Bridging.h>
 
 namespace facebook::react {
 
@@ -1834,7 +1834,7 @@ Map {
 #pragma once
 
 #include <ReactCommon/TurboModule.h>
-#include <react/bridging/Bridging.h>
+#include <React/Bridging.h>
 
 namespace facebook::react {
 
@@ -2050,7 +2050,7 @@ Map {
 #pragma once
 
 #include <ReactCommon/TurboModule.h>
-#include <react/bridging/Bridging.h>
+#include <React/Bridging.h>
 
 namespace facebook::react {
 
@@ -2101,7 +2101,7 @@ Map {
 #pragma once
 
 #include <ReactCommon/TurboModule.h>
-#include <react/bridging/Bridging.h>
+#include <React/Bridging.h>
 
 namespace facebook::react {
 
@@ -2172,7 +2172,7 @@ Map {
 #pragma once
 
 #include <ReactCommon/TurboModule.h>
-#include <react/bridging/Bridging.h>
+#include <React/Bridging.h>
 
 namespace facebook::react {