Fix "Next" never sending admin logs for rounds outside the cache, show a round's total logs on the UI (#16531)

* Fix next never sending logs for rounds outside the cache

* Show round's total log count on the ui

* Disable next button when waiting for a next response

* Cleanup AdminLogsEui.CurrentRoundId

* Fix popout window width

Resources/Locale/en-US/administration/ui/admin-logs.ftl

@@ -1,5 +1,5 @@
 admin-logs-title = Admin Logs Panel
-admin-logs-count = Showing {$showing}/{$total}
+admin-logs-count = Showing {$showing}/{$total} of {$round}
 admin-logs-pop-out = Pop Out
 
 # Round