Landscape mode design (Input Screen) (#6740)

Task/Issue URL:
https://app.asana.com/1/137249556945/project/488551667048375/task/1210707531805584?focus=true

### Description

- Updates the design for landscape on the Input Screen

### Steps to test this PR

- [x] Rotate to landscape
- [x] Open the Input Screen
- [x] Verify that the design changes accordingly
- [x] Rotate to portrait
- [x] Verify that it returns to it’s default state

### UI changes
| Before  | After |
| ------ | ----- |
<img width="2340" height="1080" alt="Screenshot_20250904_235349"
src="https://github.com/user-attachments/assets/ae032e62-437b-48a3-9ca0-5238f1b084bf"
/>|<img width="2340" height="1080" alt="Screenshot_20250904_235416"
src="https://github.com/user-attachments/assets/35c32db3-bb1d-4ef7-98f4-80ede15a4548"
/>

---------

Co-authored-by: Łukasz Paczos <[email protected]>

Author: joshliebe

duckchat/duckchat-impl/src/main/res/layout/fragment_input_screen.xml

@@ -48,6 +48,7 @@
         android:id="@+id/viewPager"
         android:layout_width="0dp"
         android:layout_height="0dp"
+        android:layout_marginHorizontal="@dimen/inputScreenMarginHorizontal"
         android:clipToPadding="false"
         app:layout_constraintBottom_toBottomOf="parent"
         app:layout_constraintEnd_toEndOf="parent"

duckchat/duckchat-impl/src/main/res/layout/view_input_mode_switch_widget.xml

@@ -66,7 +66,7 @@
         style="@style/Widget.DuckDuckGo.OmnibarCardView"
         android:layout_width="0dp"
         android:layout_height="wrap_content"
-        android:layout_marginHorizontal="@dimen/omnibarCardMarginHorizontal"
+        android:layout_marginHorizontal="@dimen/inputScreenOmnibarCardMarginHorizontal"
         android:layout_marginTop="@dimen/omnibarCardMarginTop"
         android:layout_marginBottom="@dimen/omnibarCardMarginBottom"
         app:strokeColor="?attr/daxColorAccentBlue"

duckchat/duckchat-impl/src/main/res/values-land/dimens.xml

@@ -0,0 +1,20 @@
+<?xml version="1.0" encoding="utf-8"?><!--
+  ~ Copyright (c) 2025 DuckDuckGo
+  ~
+  ~ Licensed under the Apache License, Version 2.0 (the "License");
+  ~ you may not use this file except in compliance with the License.
+  ~ You may obtain a copy of the License at
+  ~
+  ~     http://www.apache.org/licenses/LICENSE-2.0
+  ~
+  ~ Unless required by applicable law or agreed to in writing, software
+  ~ distributed under the License is distributed on an "AS IS" BASIS,
+  ~ WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+  ~ See the License for the specific language governing permissions and
+  ~ limitations under the License.
+  -->
+
+<resources>
+    <dimen name="inputScreenOmnibarCardMarginHorizontal">170dp</dimen>
+    <dimen name="inputScreenMarginHorizontal">154dp</dimen>
+</resources>

duckchat/duckchat-impl/src/main/res/values/dimens.xml

@@ -21,4 +21,6 @@
     <dimen name="inputModeTabIndicatorElevation">5dp</dimen>
     <dimen name="inputScreenUserPrefToggleSpacing">16dp</dimen>
     <dimen name="inputScreenContentTopOffset">12dp</dimen>
+    <dimen name="inputScreenOmnibarCardMarginHorizontal">@dimen/omnibarCardMarginHorizontal</dimen>
+    <dimen name="inputScreenMarginHorizontal">0dp</dimen>
 </resources>