Rename inventory_sync to player_sync

The plugin syncs more than inventories now (settings, appearance, recipe
notifications), so name it for what it does. The package becomes
@clusterio/plugin-player_sync and every inventory_sync identifier follows.

A migration entrypoint renames the inventory_sync config fields, including
load_plugin, and the inventory view permission. The plugin moves
inventories.json in the database directory to player_sync.json and
storage.inventory_sync in saves to storage.player_sync itself, and closes
dialogs left open under the old GUI names on startup.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>

plugins/player_sync/module/define_player_stat_keys.lua

@@ -0,0 +1,25 @@
+local compat = require("modules/clusterio/compat")
+
+local keys = {
+	"character_crafting_speed_modifier",
+	"character_mining_speed_modifier",
+	"character_additional_mining_categories",
+	"character_running_speed_modifier",
+	"character_build_distance_bonus",
+	"character_item_drop_distance_bonus",
+	"character_reach_distance_bonus",
+	"character_resource_reach_distance_bonus",
+	"character_item_pickup_distance_bonus",
+	"character_loot_pickup_distance_bonus",
+	"character_inventory_slots_bonus",
+	"character_trash_slot_count_bonus",
+	"character_maximum_following_robot_count_bonus",
+	"character_health_bonus",
+	"allow_dispatching_robots",
+}
+
+if compat.version_le("1.1.110") then
+	keys[#keys + 1] = "character_personal_logistic_requests_enabled"
+end
+
+return keys