user32.dll SendInput send capital accented characters

Question

I'm trying to replace the 'è' character with the 'È' character globally on my computer.

Referring to many answers here on SO Like this I succesfully created a program that replaces for example an 'A' with a 'E' or any other "normal" character. But if I try to pass the È char it doesn't work as expected.

I'm not trying to replace only internally to my app, but globally on every computer click.

This is what I'm doing:

Form1.cs

public partial class Form1 : Form
{
    public Form1()
    {
        InitializeComponent();
        this.Hide();

        KeyInterceptor hook = new KeyInterceptor((int)KeyInterceptor.Modifiers.None, 186, this);
        hook.Register();
    }

    protected override void WndProc(ref Message m)
    {
        Console.WriteLine(m.Msg);
        if (m.Msg == 0x0312)
            HandleHotkey(); // è, which was registered before, was pressed
        base.WndProc(ref m);
    }

    private void HandleHotkey()
    {
        // instead of è send È
        KeyboardManager.PressKey(459007);
    }
}

KeyInterceptor.cs

class KeyInterceptor
{
    [DllImport("user32.dll")]
    private static extern bool RegisterHotKey(IntPtr hWnd, int id, int fsModifiers, int vk);

    [DllImport("user32.dll")]
    private static extern bool UnregisterHotKey(IntPtr hWnd, int id);

    public enum Modifiers
    {
        None = 0x0000,
        Alt = 0x0001,
        Control = 0x0002,
        Shift = 0x0004,
        Win = 0x0008
    }

    int modifier;
    int key;
    IntPtr hWnd;
    int id;

    public KeyInterceptor(int modifiers, Keys key, Form f)
    {
        this.modifier = modifiers;
        this.key = (int)key;
        this.hWnd = f.Handle;
        id = this.GetHashCode();
    }
    public KeyInterceptor(int modifiers, char key, Form f)
    {
        this.modifier = modifiers;
        this.key = (int)key;
        this.hWnd = f.Handle;
        id = this.GetHashCode();
    }
    public KeyInterceptor(int modifiers, int key, Form f)
    {
        this.modifier = modifiers;
        this.key = key;
        this.hWnd = f.Handle;
        id = this.GetHashCode();
    }

    public override int GetHashCode()
    {
        return modifier ^ key ^ hWnd.ToInt32();
    }

    public bool Register()
    {
        return RegisterHotKey(hWnd, id, modifier, key);
    }
    public bool Unregister()
    {
        return UnregisterHotKey(hWnd, id);
    }
}

KeyboardManager.cs

public class KeyboardManager
{
    public const int INPUT_KEYBOARD = 1;
    public const int KEYEVENTF_KEYUP = 0x0002;

    public struct KEYDBINPUT
    {
        public Int16 wVk;
        public ushort wScan;
        public Int32 dwFlags;
        public Int32 time;
        public Int32 dwExtraInfo;
        public Int32 __filler1;
        public Int32 __filler2;
    }

    public struct INPUT
    {
        public Int32 type;
        public KEYDBINPUT ki;
    }

    [DllImport("user32.dll")]
    public static extern int SendInput(int cInputs, ref INPUT pInputs, int cbSize);

    public static void HoldKey(Keys vk)
    {
        INPUT input = new INPUT();
        input.type = INPUT_KEYBOARD;
        input.ki.dwFlags = 0;
        input.ki.wVk = (Int16)vk;
        SendInput(1, ref input, Marshal.SizeOf(input));
    }

    public static void ReleaseKey(Keys vk)
    {
        INPUT input = new INPUT();
        input.type = INPUT_KEYBOARD;
        input.ki.dwFlags = KEYEVENTF_KEYUP;
        input.ki.wVk = (Int16)vk;
        SendInput(1, ref input, Marshal.SizeOf(input));
    }
    public static void HoldKey(int vk)
    {
        INPUT input = new INPUT();
        input.type = INPUT_KEYBOARD;
        input.ki.dwFlags = 0;
        input.ki.wVk = (Int16)vk;
        SendInput(1, ref input, Marshal.SizeOf(input));
    }

    public static void ReleaseKey(int vk)
    {
        INPUT input = new INPUT();
        input.type = INPUT_KEYBOARD;
        input.ki.dwFlags = KEYEVENTF_KEYUP;
        input.ki.wVk = (Int16)vk;
        SendInput(1, ref input, Marshal.SizeOf(input));
    }

    public static void PressKey(Keys vk)
    {
        HoldKey(vk);
        ReleaseKey(vk);
    }

    public static void PressKey(int vk)
    {
        HoldKey(vk);
        ReleaseKey(vk);
    }
}

What am I missing? I don't really get how to send that key out.