How to run Custom Item Template Wizard from VS Extension command

Question

I have VS Extension with Custom Item Template.
This item uses it's own wizard as I need some information to generate multiple classes.
When I add this item using Add New Item -> [My item] Custom wizard (form) is displayed.
Now I would like to have all my new Item Types available from Context menu on solution Explorer.
I added context menu, but I can not make it show my wizard.
I have tried

dte.ItemOperations.AddNewItem( ... )
dte.LaunchWizard( ... )
ProjectItems.AddFromTemplate( ... ) 

but none of these works.

This is similar problem as in here, but I don't understand solution.

Answer 1

Finally I was able to open Wizard for my custom Item Template. I was passong wrong arguments to LaunchWizard method.
Parent can be taken for example from selection:

var parent= dte.SelectedItems.Item(1);

Running wizard:

    internal static async System.Threading.Tasks.Task AddProjectItemFromTemplateAsync(DTE dte, object parent, string templateName, string defaultName)
    {
        ProjectItems items = null;
        string fullPath = null;
        string name = null;
        if (parent is Project project)
        {
            items = project.ProjectItems;
            fullPath = project.Properties.Item("FullPath").Value?.ToString();
            name = project.Name;
        }
        else if(parent is ProjectItem projectItem)
        {
            items = projectItem.ProjectItems;
            fullPath = projectItem.Properties.Item("FullPath").Value?.ToString();
            name = projectItem.Name;
        }
        if (items != null)
        {
            string template = ((Solution2)dte.Solution).GetProjectItemTemplate(templateName, "CSharp");
            object[] parameters = new object[]{
                EnvDTE.Constants.vsWizardAddItem,
                name,
                items,
                fullPath,
                defaultName,
                "",
                false
            };
            dte.LaunchWizard(template, ref parameters);
        }
    }