Update links in README (#10151)

**Which issue(s) this PR fixes**:
Fixes #10105  by rolling back the README changes from #9974.

README.md

@@ -29,13 +29,13 @@ Loki differs from Prometheus by focusing on logs instead of metrics, and deliver
 
 ## Getting started
 
-* [Installing Loki](https://grafana.com/docs/loki/latest/setup/install/)
+* [Installing Loki](https://grafana.com/docs/loki/latest/installation/)
 * [Installing Promtail](https://grafana.com/docs/loki/latest/clients/promtail/installation/)
 * [Getting Started](https://grafana.com/docs/loki/latest/getting-started/)
 
 ## Upgrading
 
-* [Upgrading Loki](https://grafana.com/docs/loki/latest/setup/upgrade/)
+* [Upgrading Loki](https://grafana.com/docs/loki/latest/upgrading/)
 
 ## Documentation
 
@@ -44,16 +44,16 @@ Loki differs from Prometheus by focusing on logs instead of metrics, and deliver
 
 Commonly used sections:
 
-- [API documentation](https://grafana.com/docs/loki/latest/reference/api/) for getting logs into Loki.
-- [Labels](https://grafana.com/docs/loki/latest/get-started/labels/)
+- [API documentation](https://grafana.com/docs/loki/latest/api/) for getting logs into Loki.
+- [Labels](https://grafana.com/docs/loki/latest/getting-started/labels/)
 - [Operations](https://grafana.com/docs/loki/latest/operations/)
 - [Promtail](https://grafana.com/docs/loki/latest/clients/promtail/) is an agent which tails log files and pushes them to Loki.
 - [Pipelines](https://grafana.com/docs/loki/latest/clients/promtail/pipelines/) details the log processing pipeline.
 - [Docker Driver Client](https://grafana.com/docs/loki/latest/clients/docker-driver/) is a Docker plugin to send logs directly to Loki from Docker containers.
-- [LogCLI](https://grafana.com/docs/loki/latest/query/logcli/) provides a command-line interface for querying logs.
+- [LogCLI](https://grafana.com/docs/loki/latest/logcli/) provides a command-line interface for querying logs.
 - [Loki Canary](https://grafana.com/docs/loki/latest/operations/loki-canary/) monitors your Loki installation for missing logs.
 - [Troubleshooting](https://grafana.com/docs/loki/latest/operations/troubleshooting/) presents help dealing with error messages.
-- [Loki in Grafana](https://grafana.com/docs/loki/latest/visualize/grafana/) describes how to set up a Loki datasource in Grafana.
+- [Loki in Grafana](https://grafana.com/docs/loki/latest/operations/grafana/) describes how to set up a Loki datasource in Grafana.
 
 ## Getting Help