Move InputModeTabLayout to browser-ui (#7057)

Task/Issue URL:
https://app.asana.com/1/137249556945/project/488551667048375/task/1211841662615810?focus=true

### Description

- Moves `InputModeTabLayout` to the `browser-ui` module

### Steps to test this PR

- [ ] Open the Input Screen
- [ ] Verify that the Input Mode Widget renders correctly in light and
dark mode

Author: joshliebe

duckchat/duckchat-impl/src/main/java/com/duckduckgo/duckchat/impl/inputscreen/ui/view/InputModeTabLayout.kt renamed to browser/browser-ui/src/main/java/com/duckduckgo/browser/ui/inputmode/InputModeTabLayout.kt

@@ -14,7 +14,7 @@
  * limitations under the License.
  */
 
-package com.duckduckgo.duckchat.impl.inputscreen.ui.view
+package com.duckduckgo.browser.ui.inputmode
 
 import android.content.Context
 import android.graphics.Color
@@ -24,9 +24,9 @@ import android.view.ViewOutlineProvider
 import android.widget.ImageView
 import androidx.core.content.ContextCompat
 import com.duckduckgo.anvil.annotations.InjectWith
+import com.duckduckgo.browser.ui.R
 import com.duckduckgo.common.ui.store.AppTheme
 import com.duckduckgo.di.scopes.ViewScope
-import com.duckduckgo.duckchat.impl.R
 import com.google.android.material.color.MaterialColors
 import com.google.android.material.shape.CornerFamily
 import com.google.android.material.shape.MaterialShapeDrawable

duckchat/duckchat-impl/src/main/res/drawable/ic_chat_tab_selector.xml renamed to browser/browser-ui/src/main/res/drawable/ic_chat_tab_selector.xml

@@ -34,7 +34,7 @@
         android:id="@+id/tab_title"
         android:layout_width="wrap_content"
         android:layout_height="wrap_content"
-        android:text="@string/input_screen_chat_tab"
+        android:text="@string/input_mode_chat_tab"
         android:layout_marginStart="6dp"
         app:typography="h4"
         app:layout_constraintStart_toEndOf="@id/tab_icon"