Keep window on top of taskbar on Windows 11 - winapi

Question

I found that on windows 11, even if I created windows with WS_EX_TOPMOST style, the window still get covered by taskbar if you click anywhere on the taskbar. The only exception to this is task manager. How does it achieve it?
I want a feature to draw stuff on the taskbar, or at least mimic that behavior using a transparent window. I think there used to be 2 ways to achieve that:
Get DC of taskbar and draw (which no longer work on Windows11)
Create a transparent window and keep it on top of taskbar (issues with how to keep it topmost)
I kind of get stuck now. Any help is appreciated.
UPDATE:
I just noticed that the taskbar window, shown as DesktopWindowXamlSource in Spy++ does not have the WS_EX_TOPMOST style set. I guess it's possible to cover it for some ways?
#ifndef UNICODE
#define UNICODE
#endif
#include <windows.h>
#include <iostream>
LRESULT CALLBACK WindowProc(HWND hwnd, UINT uMsg, WPARAM wParam, LPARAM lParam);
int WINAPI wWinMain(HINSTANCE hInstance, HINSTANCE hPrevInstance, PWSTR pCmdLine, int nCmdShow)
{
// Register the window class.
const wchar_t CLASS_NAME[] = L"Sample Window Class";
WNDCLASS wc = { };
wc.lpfnWndProc = WindowProc;
wc.hInstance = hInstance;
wc.lpszClassName = CLASS_NAME;
RegisterClass(&wc);
// Create the window.
HWND hwnd = CreateWindowEx(
WS_EX_TOPMOST, // Optional window styles.
CLASS_NAME, // Window class
L"Learn to Program Windows", // Window text
WS_OVERLAPPEDWINDOW, // Window style
// Size and position
CW_USEDEFAULT, CW_USEDEFAULT, CW_USEDEFAULT, CW_USEDEFAULT,
NULL, // Parent window
NULL, // Menu
hInstance, // Instance handle
NULL // Additional application data
);
if (hwnd == NULL)
{
return 0;
}
ShowWindow(hwnd, nCmdShow);
// Run the message loop.
MSG msg = { };
while (GetMessage(&msg, NULL, 0, 0) > 0)
{
TranslateMessage(&msg);
DispatchMessage(&msg);
}
}
LRESULT CALLBACK WindowProc(HWND hwnd, UINT uMsg, WPARAM wParam, LPARAM lParam)
{
switch (uMsg)
{
case WM_DESTROY:
PostQuitMessage(0);
return 0;
case WM_PAINT:
{
PAINTSTRUCT ps;
HDC hdc = BeginPaint(hwnd, &ps);
// All painting occurs here, between BeginPaint and EndPaint.
FillRect(hdc, &ps.rcPaint, (HBRUSH)(COLOR_WINDOW + 1));
EndPaint(hwnd, &ps);
}
return 0;
}
return DefWindowProc(hwnd, uMsg, wParam, lParam);
}
And this is how the window get covered by taskbar when I click start.