fix(mobile): don't update search filters in-place (#26965)

* fix(mobile): don't update search filters in-place

Search filters are currently modified in-place, which can feel quite
janky. The chips behind the bottom sheet update instantly, and the
search page gets confused because filters have been applied but no
search has been initiated. Filters should keep their own copy of the
filter when they're opened, and the commit + search on apply.

The previous filter and pre-filter concepts were also cleaned up. They
added complexity, and `search()` now owns the full life cycle of the
filter.

This now also reverts the changes from #27155, as this solution should
be cleaner.

* refactor & color tweak

---------

Co-authored-by: Alex <alex.tran1502@gmail.com>

mobile/pubspec.lock

@@ -1194,10 +1194,10 @@ packages:
     dependency: transitive
     description:
       name: meta
-      sha256: "23f08335362185a5ea2ad3a4e597f1375e78bce8a040df5c600c8d3552ef2394"
+      sha256: e3641ec5d63ebf0d9b41bd43201a66e3fc79a65db5f61fc181f04cd27aab950c
       url: "https://pub.dev"
     source: hosted
-    version: "1.17.0"
+    version: "1.16.0"
   mime:
     dependency: transitive
     description:
@@ -1897,10 +1897,10 @@ packages:
     dependency: transitive
     description:
       name: test_api
-      sha256: ab2726c1a94d3176a45960b6234466ec367179b87dd74f1611adb1f3b5fb9d55
+      sha256: "522f00f556e73044315fa4585ec3270f1808a4b186c936e612cab0b565ff1e00"
       url: "https://pub.dev"
     source: hosted
-    version: "0.7.7"
+    version: "0.7.6"
   thumbhash:
     dependency: "direct main"
     description: