docs: update RNS parity progress

Author: DjDeveloperr

PROGRESS.md

@@ -17,6 +17,55 @@ TypeScript/UI worklets.
 
 ## Latest Update - 2026-06-30
 
+### 2026-06-30 06:42 EDT - RNS selected tab paint and modal background parity
+
+- Scope check:
+  - Stayed on the RN module / Fabric / TurboModule / worklets branch work in
+    the `react-native-screens` fork. No direct-engine backend refactor drift
+    and no RNS-specific native ObjC/Swift implementation.
+  - Simulator-only rule remains active; verification used the dedicated port
+    and original simulators only.
+- Fixes in the screens fork:
+  - `NativeScriptTabs.ios.tsx` now performs the selected-tab reconcile during
+    explicit UIKit tab selection when the selected view is marked for
+    post-selection touch/content repair. The reconcile runs before selected-tab
+    accessibility publication and forces embedded stack content refresh for
+    that one marked selection.
+  - `ScreenStackItem.tsx` now copies iOS NativeScript modal/non-push
+    `contentStyle.backgroundColor` to the native screen surface while keeping
+    it on the content wrapper, so short modal content does not expose a white
+    lower sheet area.
+  - `NativeScriptScreenStack.ios.tsx` now carries the copied
+    `nativeScriptScreenBackgroundColor` into the TS/UIKit stack primitive and
+    applies it to the controller view plus registered content wrapper during
+    screen normalization.
+  - A broad content-wrapper display flush experiment was reverted because it
+    made modal pixels draw the stale UIKit tab surface even though AX state was
+    alive.
+- Pixel/simulator evidence:
+  - After a clean relaunch via
+    `nativescriptuikitdemo://expo-development-client/?url=http%3A%2F%2F127.0.0.1%3A8082`,
+    UIKit -> React Nav visibly rendered the Home body instead of the previous
+    header-only blank state.
+  - Detail route pixels and header custom-view tap passed; screenshot
+    `/tmp/rns-port-detail-header-after-native-bg-prop.png` shows both the
+    header pill and body counter at `1`.
+  - Modal route pixels match original lower-sheet background again:
+    `/tmp/rns-port-modal-after-native-bg-prop.png` and
+    `/tmp/rns-original-modal.png` both sample `(470,1800)`,
+    `(470,1900)`, and `(470,1300)` as `246,247,251,255`.
+  - Compact comprehensive stress passed on the port simulator
+    `BF759806-2EBB-49ED-AD8E-413A7790ADE0`:
+    `hotTab=1x[0]`, `immediate=1`, `duplicate=1`, `gesture=1`,
+    `modal=1`, `header=1`, `menu=1`, `customHeader=1`.
+  - The same compact shape passed on the original simulator
+    `3931FD88-6C29-44AA-BD73-4A40C4334B5B`.
+- Source verification:
+  - Full RNS Jest passed: `333/333`.
+  - RNS TypeScript passed: `npm run check-types`.
+  - RNS `git diff --check` passed.
+  - Port and original demo `npm run typecheck` both passed.
+
 ### 2026-06-30 04:33 EDT - JS prototype accessors suppress native accessor re-entry
 
 - Scope check: