Fix APM server not being available in cloud. (#1781)

internal/pkg/agent/application/monitoring/processes.go

@@ -50,9 +50,20 @@ func processesHandler(coord *coordinator.Coordinator) func(http.ResponseWriter,
 
 		for _, c := range state.Components {
 			if c.Component.InputSpec != nil {
-				procs = append(procs, process{c.Component.ID, c.Component.InputSpec.BinaryName,
-					c.LegacyPID,
-					sourceFromComponentID(c.Component.ID)})
+				displayID := c.Component.ID
+				if strings.Contains(c.Component.InputSpec.BinaryName, "apm-server") {
+					// Cloud explicitly looks for an ID of "apm-server" to determine if APM is in managed mode.
+					// Ensure that this is the ID we use, at the time of writing it is "apm-default".
+					// Otherwise apm-server won't be routable/accessible in cloud.
+					// https://github.com/elastic/elastic-agent/issues/1731#issuecomment-1325862913
+					displayID = "apm-server"
+				}
+				procs = append(procs, process{
+					ID:     displayID,
+					PID:    c.LegacyPID,
+					Binary: c.Component.InputSpec.BinaryName,
+					Source: sourceFromComponentID(c.Component.ID),
+				})
 			}
 		}
 		data := struct {