fix: only showing LSN for static computes in neon endpoint list (#10931)

## Problem

`neon endpoint list` shows a different LSN than what the state of the
replica is. This is mainly down to what we define as LSN in this output.
If we define it as the LSN that a compute was started with, it only
makes sense to show it for static computes.

## Summary of changes

Removed the output of `last_record_lsn` for primary/hot standby
computes.

Closes: https://github.com/neondatabase/neon/issues/5825

---------

Co-authored-by: Tristan Partin <tristan@neon.tech>

control_plane/src/bin/neon_local.rs

@@ -887,20 +887,6 @@ fn print_timeline(
     Ok(())
 }
 
-/// Returns a map of timeline IDs to timeline_id@lsn strings.
-/// Connects to the pageserver to query this information.
-async fn get_timeline_infos(
-    env: &local_env::LocalEnv,
-    tenant_shard_id: &TenantShardId,
-) -> Result<HashMap<TimelineId, TimelineInfo>> {
-    Ok(get_default_pageserver(env)
-        .timeline_list(tenant_shard_id)
-        .await?
-        .into_iter()
-        .map(|timeline_info| (timeline_info.timeline_id, timeline_info))
-        .collect())
-}
-
 /// Helper function to get tenant id from an optional --tenant_id option or from the config file
 fn get_tenant_id(
     tenant_id_arg: Option<TenantId>,
@@ -1251,12 +1237,6 @@ async fn handle_endpoint(subcmd: &EndpointCmd, env: &local_env::LocalEnv) -> Res
             // TODO(sharding): this command shouldn't have to specify a shard ID: we should ask the storage controller
             // where shard 0 is attached, and query there.
             let tenant_shard_id = get_tenant_shard_id(args.tenant_shard_id, env)?;
-            let timeline_infos = get_timeline_infos(env, &tenant_shard_id)
-                .await
-                .unwrap_or_else(|e| {
-                    eprintln!("Failed to load timeline info: {}", e);
-                    HashMap::new()
-                });
 
             let timeline_name_mappings = env.timeline_name_mappings();
 
@@ -1285,12 +1265,9 @@ async fn handle_endpoint(subcmd: &EndpointCmd, env: &local_env::LocalEnv) -> Res
                         lsn.to_string()
                     }
                     _ => {
-                        // -> primary endpoint or hot replica
-                        // Use the LSN at the end of the timeline.
-                        timeline_infos
-                            .get(&endpoint.timeline_id)
-                            .map(|bi| bi.last_record_lsn.to_string())
-                            .unwrap_or_else(|| "?".to_string())
+                        // As the LSN here refers to the one that the compute is started with,
+                        // we display nothing as it is a primary/hot standby compute.
+                        "---".to_string()
                     }
                 };