Move self-update and software manager initialization

* They're moved to the beginning of System Analysis.

src/lib/installation/clients/inst_system_analysis.rb

@@ -96,6 +96,14 @@ def main
       actions_doing = []
       actions_functions = []
 
+      actions_todo      << _("Initialize software manager")
+      actions_doing     << _("Initializing software manager...")
+      actions_functions << fun_ref(method(:InitInstallationRepositories), "boolean ()")
+
+      actions_todo      << _("Installer update")
+      actions_doing     << _("Searching for installer updates...")
+      actions_functions << fun_ref(method(:self_update), "boolean ()")
+
       Builtins.y2milestone("Probing done: %1", Installation.probing_done)
       # skip part of probes as it doesn't change, but some parts (mostly disks
       # that can be activated) need rerun see BNC#865579
@@ -135,10 +143,6 @@ def main
       actions_doing     << _("Searching for system files...")
       actions_functions << fun_ref(method(:FilesFromOlderSystems), "boolean ()")
 
-      actions_todo      << _("Initialize software manager")
-      actions_doing     << _("Initializing software manager...")
-      actions_functions << fun_ref(method(:InitInstallationRepositories), "boolean ()")
-
       Progress.New(
         # TRANSLATORS: dialog caption
         _("System Probing"),
@@ -354,6 +358,13 @@ def InitInstallationRepositories
       ret
     end
 
+    # Runs installer's self-update
+    #
+    # @see inst_update_installer client
+    def self_update
+      WFM.CallFunction("inst_update_installer", [])
+    end
+
     def FilesFromOlderSystems
       # FATE #300421: Import ssh keys from previous installations
       # FATE #120103: Import Users From Existing Partition