[8.x] [Docs] Update certain references to cloud and ESS due to serverless GA (#202184) (#202202)

# Backport

This will backport the following commits from `main` to `8.x`:
- [[Docs] Update certain references to cloud and ESS due to serverless
GA (#202184)](https://github.com/elastic/kibana/pull/202184)

<!--- Backport version: 9.4.3 -->

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

<!--BACKPORT
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Update certain references to cloud and ESS due to serverless GA
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Update certain references to cloud and ESS due to serverless
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Update certain references to cloud and ESS due to serverless GA
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Update certain references to cloud and ESS due to serverless GA
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Co-authored-by: florent-leborgne <florent.leborgne@elastic.co>

docs/maps/asset-tracking-tutorial.asciidoc

@@ -24,7 +24,7 @@ image::maps/images/asset-tracking-tutorial/construction_zones.png[]
 [float]
 === Prerequisites
 
-- If you don’t already have {kib}, set it up with https://www.elastic.co/cloud/elasticsearch-service/signup?baymax=docs-body&elektra=docs[our free trial]. Download the deployment credentials.
+- If you don’t already have {kib}, sign up for https://www.elastic.co/cloud/elasticsearch-service/signup?baymax=docs-body&elektra=docs[a free Elastic Cloud trial] and create a hosted deployment. When creating it, download the deployment credentials.
 - Obtain an API key for https://developer.trimet.org/[TriMet web services] at https://developer.trimet.org/appid/registration/.
 - {fleet-guide}/fleet-overview.html[Fleet] is enabled on your cluster, and one or more {fleet-guide}/elastic-agent-installation.html[{agent}s] is enrolled.
 

docs/setup/install.asciidoc

@@ -2,9 +2,9 @@
 == Install {kib}
 
 [float]
-=== Hosted {kib}
+=== {kib} on Elastic Cloud
 
-If you are running our hosted Elasticsearch Service on Elastic Cloud, you access Kibana with a single click. (You can {ess-trial}[sign up for a free trial] and start exploring data in minutes.)
+If you are using Elastic Cloud, you access Kibana with a single click. (You can {ess-trial}[sign up for a free trial] and start exploring data in minutes.)
 
 [float]
 === Install {kib} yourself

docs/user/alerting/troubleshooting/testing-connectors.asciidoc

@@ -18,7 +18,7 @@ image::user/alerting/images/teams-connector-test.png[Five clauses define the con
 ==== experimental[] Troubleshooting connectors with the `kbn-action` tool
 
 You can run an email action via https://github.com/pmuellr/kbn-action[kbn-action].
-In this example, it is a Cloud deployment of the {stack}:
+In this example, it is a Cloud hosted deployment of the {stack}:
 
 [source, txt]
 --------------------------------------------------

docs/user/reporting/index.asciidoc

@@ -72,7 +72,7 @@ NOTE: You can use the *Copy POST URL* option instead to generate the report from
 
 You can then download it from that message, or go to the *Stack Management > Reporting* page to view and access all of your reports.
 
-NOTE: In "stateful" deployments, reports are stored in {es} and managed by the `kibana-reporting` {ilm}
+NOTE: In self-managed and Cloud hosted deployments, reports are stored in {es} and managed by the `kibana-reporting` {ilm}
 ({ilm-init}) policy. By default, the policy stores reports forever. To learn more about {ilm-init} policies, refer
 to the {es} {ref}/index-lifecycle-management.html[{ilm-init} documentation].
 
@@ -108,7 +108,7 @@ Create and share JSON files for workpads.
 * *Embed code* — Embed fully interactive dashboards as an iframe on web pages.
 
 [[reporting-on-cloud-resource-requirements]]
-NOTE: For Elastic Cloud deployments, {kib} instances require a minimum of 2GB RAM to generate PDF or PNG reports. To
+NOTE: For Elastic Cloud hosted deployments, {kib} instances require a minimum of 2GB RAM to generate PDF or PNG reports. To
 change {kib} sizing, {ess-console}[edit the deployment].