fix(web): keep disabled plugins in the saved rotation order and Vegas exclusions

PluginOrderList draws one row per enabled plugin and, once drawn, rewrites
its hidden inputs (plugin_rotation_order, vegas_plugin_order,
vegas_excluded_plugins) from those rows. A disabled plugin has no row, so
merely opening the Display or Rotation & Durations tab took it out of the
inputs, and the next save of that form stored the lists without it. Exclude
Clock from Vegas, disable it, change the brightness, re-enable it: Clock was
scrolling in Vegas again and had moved to the end of the rotation.

syncInputs now keeps the saved ids that have no row. In the order, each one
keeps its saved slot and the rows fill the other slots in their current
order, with rows not in the saved order last, as before. In the exclusions
they follow the unchecked rows. Only string ids are carried over, once each:
/config/main refuses a list holding anything else, which would block every
later save of the tab.

Tests: test/js/unit/test_plugin_order_list.js runs the shipped widget in a vm
with a fake DOM (draw, reorder, include/exclude, the rotation list, junk ids)
and is in run_all.js and the README. The durations DOM suite now reads only
its own rows' ids from the input, since a rig's saved order can hold others.

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

CHANGELOG.md

@@ -550,6 +550,13 @@ policies are unchanged.
   replace its mask. A list of secrets still needs every entry's real value
   to be changed. The `config.json` editor is unchanged: its save writes the
   file as given, so a mask there would be stored.
+- A disabled plugin keeps its place in the rotation order and its Vegas
+  exclusion when the Display or Rotation & Durations tab is saved. The order
+  lists show enabled plugins only and rewrite their hidden inputs from those
+  rows as soon as they are drawn, so any save of either tab stored the lists
+  without the disabled plugin. Once re-enabled, it came back at the end of
+  the rotation and scrolling in Vegas again. Saved ids without a row now
+  stay in their saved places (`widgets/plugin-order-list.js`).
 - A game that goes live now takes over the panel within about a second.
   Live priority was only checked between screens, so a game that went live
   during a 30 s screen waited for that screen to end. The frame loops and the