[8.19] [Docs] Replace @private with @internal (elastic#224835) (elastic#224940)

# Backport

This will backport the following commits from `main` to `8.19`:
- [[Docs] Replace `@private` with `@internal`
(elastic#224835)](elastic#224835)

<!--- Backport version: 10.0.1 -->

### Questions ?
Please refer to the [Backport tool
documentation](https://github.com/sorenlouv/backport)

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Replace `@private` with `@internal`
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Replace `@private` with `@internal`
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BACKPORT-->

Author: afharo

src/core/packages/analytics/browser-internal/src/analytics_service.ts

@@ -89,7 +89,7 @@ export class AnalyticsService {
 
   /**
    * Enriches the events with a session_id, so we can correlate them and understand funnels.
-   * @private
+   * @internal
    */
   private registerSessionIdContext() {
     this.analyticsClient.registerContextProvider({
@@ -107,7 +107,7 @@ export class AnalyticsService {
   /**
    * Enriches the event with the build information.
    * @param core The core context.
-   * @private
+   * @internal
    */
   private registerBuildInfoAnalyticsContext(core: CoreContext) {
     this.analyticsClient.registerContextProvider({
@@ -142,7 +142,7 @@ export class AnalyticsService {
 
   /**
    * Enriches events with the current Browser's information
-   * @private
+   * @internal
    */
   private registerBrowserInfoAnalyticsContext() {
     this.analyticsClient.registerContextProvider({
@@ -175,7 +175,7 @@ export class AnalyticsService {
   /**
    * Enriches the events with the Elasticsearch info (cluster name, uuid and version).
    * @param injectedMetadata The injected metadata service.
-   * @private
+   * @internal
    */
   private registerElasticsearchInfoContext(injectedMetadata: InternalInjectedMetadataSetup) {
     this.analyticsClient.registerContextProvider({

src/core/packages/analytics/server-internal/src/analytics_service.ts

@@ -74,7 +74,7 @@ export class AnalyticsService {
   /**
    * Enriches the event with the build information.
    * @param core The core context.
-   * @private
+   * @internal
    */
   private registerBuildInfoAnalyticsContext(core: CoreContext) {
     this.analyticsClient.registerContextProvider({

src/core/packages/apps/server-internal/src/core_app.ts

@@ -296,7 +296,7 @@ export class CoreAppsService {
    * Registers the HTTP API that allows updating in-memory the settings that opted-in to be dynamically updatable.
    * @param router {@link IRouter}
    * @param savedObjectClient$ An observable of a {@link SavedObjectsClientContract | savedObjects client} that will be used to update the document
-   * @private
+   * @internal
    */
   private registerInternalCoreSettingsRoute(
     router: IRouter,

src/core/packages/chrome/browser-internal/src/register_analytics_context_provider.ts

@@ -14,7 +14,7 @@ import type { AnalyticsServiceSetup } from '@kbn/core-analytics-browser';
  * Registers the Analytics context provider to enrich events with the page title.
  * @param analytics Analytics service.
  * @param pageTitle$ Observable emitting the page title.
- * @private
+ * @internal
  */
 export function registerAnalyticsContextProvider(
   analytics: AnalyticsServiceSetup,

src/core/packages/config/server-internal/src/ensure_valid_configuration.ts

@@ -18,7 +18,7 @@ const legacyInvalidConfigExitCode = 64;
 /**
  * Parameters for the helper {@link ensureValidConfiguration}
  *
- * @private
+ * @internal
  */
 export interface EnsureValidConfigurationParameters extends ConfigValidateParameters {
   /**
@@ -32,7 +32,7 @@ export interface EnsureValidConfigurationParameters extends ConfigValidateParame
  * @param configService The {@link IConfigService} instance that has the raw configuration preloaded.
  * @param params {@link EnsureValidConfigurationParameters | Options} to enable/disable extra edge-cases.
  *
- * @private
+ * @internal
  */
 export async function ensureValidConfiguration(
   configService: IConfigService,

src/core/packages/elasticsearch/server-internal/src/get_cluster_info.ts

@@ -11,7 +11,7 @@ import type { Observable } from 'rxjs';
 import { defer, map, retry, shareReplay } from 'rxjs';
 import type { ElasticsearchClient } from '@kbn/core-elasticsearch-server';
 
-/** @private */
+/** @internal */
 export interface ClusterInfo {
   cluster_name: string;
   cluster_uuid: string;
@@ -22,7 +22,7 @@ export interface ClusterInfo {
 /**
  * Returns the cluster info from the Elasticsearch cluster.
  * @param internalClient Elasticsearch client
- * @private
+ * @internal
  */
 export function getClusterInfo$(internalClient: ElasticsearchClient): Observable<ClusterInfo> {
   return defer(() => internalClient.info()).pipe(

src/core/packages/elasticsearch/server-internal/src/register_analytics_context_provider.ts

@@ -15,7 +15,7 @@ import type { ClusterInfo } from './get_cluster_info';
  * Registers the Analytics context provider to enrich events with the cluster info.
  * @param analytics Analytics service.
  * @param context$ Observable emitting the cluster info.
- * @private
+ * @internal
  */
 export function registerAnalyticsContextProvider(
   analytics: AnalyticsServiceSetup,

src/core/packages/execution-context/browser-internal/src/execution_context_service.ts

@@ -116,7 +116,7 @@ export class ExecutionContextService
   /**
    * Sets the analytics context provider based on the execution context details.
    * @param analytics The analytics service
-   * @private
+   * @internal
    */
   private enrichAnalyticsContext(analytics: AnalyticsServiceSetup) {
     analytics.registerContextProvider({

src/core/packages/pricing/common/src/pricing_tiers_client.ts

@@ -37,7 +37,7 @@ export class PricingTiersClient implements IPricingTiersClient {
    *
    * @param product - The product to check
    * @returns True if the product is active, false otherwise
-   * @private
+   * @internal
    */
   private isActiveProduct = (product: PricingProduct) => {
     return Boolean(this.tiers.products?.some((currentProduct) => isEqual(currentProduct, product)));
@@ -47,7 +47,7 @@ export class PricingTiersClient implements IPricingTiersClient {
    * Checks if pricing tiers are enabled in the current configuration.
    *
    * @returns True if pricing tiers are enabled, false otherwise
-   * @private
+   * @internal
    */
   private isEnabled = () => {
     return this.tiers.enabled;

src/core/packages/pricing/common/src/product_features_registry.ts

@@ -18,7 +18,7 @@ import { PricingProductFeature } from './types';
 export class ProductFeaturesRegistry {
   /**
    * Internal storage for registered product features.
-   * @private
+   * @internal
    */
   private readonly productFeatures: Map<string, PricingProductFeature>;