Apply naming guidelines to Kibana alerting pages

Updates five existing pages to consistently use 'Kibana alerting' as the
primary term and add anchor sentences identifying the system:
- alerts.md: rename H1, add opening paragraph, add cross-reference to experimental features
- alerting-getting-started.md: rename H1, update first sentence
- alerting-setup.md: rename H1, add anchor sentence
- create-manage-rules.md: rename H1 to include 'Kibana alerting'
- view-alerts.md: rename H1 to include 'Kibana alerting', update intro

Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>

Author: nastasha-solomon

explore-analyze/alerting/alerts.md

@@ -10,9 +10,15 @@ products:
   - id: kibana
   - id: cloud-serverless
   - id: cloud-hosted
+description: "Overview of Kibana alerting: rules, alerts, actions, connectors, and how they work together."
 ---
 
-# Alerts
+# Kibana alerting [alerts]
+
+Kibana alerting is the built-in alerting system in {{kib}}. It lets you define rules that check your data on a schedule, create alerts when conditions are met, and trigger actions through connectors (email, Slack, webhooks, and more). It is available on all deployments.
+<!-- TODO: Uncomment when PR #6521 (experimental overview) is merged:
+For the experimental alerting features built on {{esql}}, refer to [Experimental alerting features](kibana-alerting-experimental.md).
+-->
 
 ## {{rules-ui}} [rules]
 

explore-analyze/alerting/alerts/alerting-getting-started.md

@@ -14,9 +14,9 @@ products:
   - id: elastic-stack
 ---
 
-# Getting started with alerting [alerting-getting-started]
+# Getting started with Kibana alerting [alerting-getting-started]
 
-Alerting enables you to define *rules*, which detect complex conditions within different {{kib}} apps and trigger actions when those conditions are met. Alerting is integrated with [**{{observability}}**](../../../solutions/observability/incident-management/alerting.md), [**Security**](detection-rules://index.md), [**Maps**](geo-alerting.md) and [**{{ml-app}}**](../../../explore-analyze/machine-learning/anomaly-detection/ml-configuring-alerts.md). It can be centrally managed from **{{stack-manage-app}}** and provides a set of built-in [connectors](../../../deploy-manage/manage-connectors.md) and [rules](rule-types.md#stack-rules) for you to use.
+Kibana alerting is the built-in alerting system in {{kib}}. It enables you to define *rules*, which detect complex conditions within different {{kib}} apps and trigger actions when those conditions are met. Alerting is integrated with [**{{observability}}**](../../../solutions/observability/incident-management/alerting.md), [**Security**](detection-rules://index.md), [**Maps**](geo-alerting.md) and [**{{ml-app}}**](../../../explore-analyze/machine-learning/anomaly-detection/ml-configuring-alerts.md). It can be centrally managed from **{{stack-manage-app}}** and provides a set of built-in [connectors](../../../deploy-manage/manage-connectors.md) and [rules](rule-types.md#stack-rules) for you to use.
 
 :::{image} /explore-analyze/images/kibana-alerting-overview.png
 :alt: {{rules-ui}} UI

explore-analyze/alerting/alerts/alerting-setup.md

@@ -9,9 +9,9 @@ products:
   - id: kibana
 ---
 
-# Set up [alerting-setup]
+# Set up Kibana alerting [alerting-setup]
 
-{{kib}} {{alert-features}} are automatically enabled, but might require some additional configuration.
+Kibana alerting is the built-in alerting system in {{kib}}. {{alert-features}} are automatically enabled, but might require some additional configuration.
 
 ## Prerequisites [alerting-prerequisites]
 

explore-analyze/alerting/alerts/create-manage-rules.md

@@ -9,9 +9,9 @@ products:
   - id: kibana
 ---
 
-# Create and manage alerting rules with {{kib}} [create-and-manage-rules]
+# Create and manage Kibana alerting rules [create-and-manage-rules]
 
-The **{{stack-manage-app}}** > **{{rules-ui}}** UI provides a cross-app view of alerting. Different {{kib}} apps like [**{{observability}}**](../../../solutions/observability/incident-management/alerting.md), [**Security**](detection-rules://index.md), [**Maps**](geo-alerting.md) and [**{{ml-app}}**](../../machine-learning/machine-learning-in-kibana.md) can offer their own rules.
+The **{{stack-manage-app}}** > **{{rules-ui}}** UI provides a cross-app view of Kibana alerting. Different {{kib}} apps like [**{{observability}}**](../../../solutions/observability/incident-management/alerting.md), [**Security**](detection-rules://index.md), [**Maps**](geo-alerting.md) and [**{{ml-app}}**](../../machine-learning/machine-learning-in-kibana.md) can offer their own rules.
 
 You can find **Rules** in **Stack Management** > **Alerts and insights** > **Rules** in {{kib}} or by using the [global search field](/explore-analyze/find-and-organize/find-apps-and-objects.md).
 

explore-analyze/alerting/alerts/view-alerts.md

@@ -9,9 +9,9 @@ products:
   - id: kibana
 ---
 
-# View and manage alerts in {{kib}} [view-alerts]
+# View and manage Kibana alerting alerts [view-alerts]
 
-When the conditions of a rule are met, it creates an alert. If the rule has actions, they run at the defined frequency. For example, the rule can send email notifications for each alert at a custom interval. For an introduction to the concepts of rules, alerts, and actions, refer to [Alerting](../alerts.md).
+Kibana alerting creates an alert when the conditions of a rule are met. If the rule has actions, they run at the defined frequency. For example, the rule can send email notifications for each alert at a custom interval. For an introduction to the concepts of rules, alerts, and actions, refer to [Kibana alerting](../alerts.md).
 
 Manage alerts from the following places: