How to drag a "nested scrolling enabled bottom sheet" by dragging one of its children?

Question

I have a persistent bottom sheet with a LinearLayout that acts like a header, and a SwipeRefreshLayout with a NestedScrollView in it. I want to be able to drag the bottom sheet by dragging that LinearLayout, but it does not work when nested scrolling enabled on that bottom sheet's root view.

Here's my bottom sheet layout:

<?xml version="1.0" encoding="utf-8"?>
<FrameLayout xmlns:android="http://schemas.android.com/apk/res/android"
    xmlns:app="http://schemas.android.com/apk/res-auto"
    xmlns:tools="http://schemas.android.com/tools"
    android:id="@+id/list_bottom_sheet"
    android:layout_width="match_parent"
    android:layout_height="match_parent"
    android:background="@color/white"
    android:elevation="10dp"
    android:nestedScrollingEnabled="true"
    android:orientation="vertical"
    app:behavior_hideable="false"
    app:layout_behavior="AnchorSheetBehavior"> 

    <LinearLayout
        android:id="@+id/list_layout"
        android:layout_width="match_parent"
        android:layout_height="match_parent"
        android:nestedScrollingEnabled="false"
        android:orientation="vertical">

        <!-- I want to be able to drag the bottom sheet by dragging this layout. -->
        <LinearLayout
            android:id="@+id/list_header_linear_layout"
            android:layout_width="match_parent"
            android:layout_height="@dimen/layout_list_header_height"
            android:background="?selectableItemBackground"
            android:baselineAligned="false"
            android:clickable="true"
            android:focusable="true"
            android:nestedScrollingEnabled="false"
            android:orientation="horizontal">

            <!-- Some other views here. -->

        </LinearLayout>


        <!-- While the user interacting with this view, the bottom sheet should not slide. -->
        <androidx.swiperefreshlayout.widget.SwipeRefreshLayout
                android:id="@+id/swipe_to_refresh_layout"
                android:layout_width="match_parent"
                android:layout_height="match_parent">

                <androidx.core.widget.NestedScrollView
                    android:id="@+id/bottom_sheet_scroll_view"
                    android:layout_width="match_parent"
                    android:layout_height="match_parent"/> 

            </androidx.swiperefreshlayout.widget.SwipeRefreshLayout>

    </LinearLayout>


</FrameLayout>

To give you an overview:

 1. FrameLayout # root view of the bottom sheet
    2. LinearLayout # container
       3. LinearLayout # header view, I want to be able to slide the bottom sheet by dragging this view
       3. SwipeRefreshLayout # while interacting with this view, the bottom sheet should not slide
          4. NestedScrollView

How can I achieve such behaviour?