Word: Check if cursor is in table cell (and move to next cell)

[FroggieFrog]

I need to insert some text in a table cell and move the cursor to the next cell.
How can I check if the cursor is inside a table cell?
How can I move the cursor to the next cell?

Inserting the text is done via the following code:

export async function insertCurrentDate() {
  try {
    await Word.run(async (context) => {
      // Get the current selection
      var selection = context.document.getSelection();

      // Insert the current date at the cursor position
      var currentDate = new Date().toLocaleDateString();
      selection.insertText(currentDate, Word.InsertLocation.end);

      await context.sync();
    });
  } catch (error) {
    console.log("Error: " + error);
  }
}

Although I said Word.InsertLocation.end the cursor is still where it was before and not moved after the inserted text.

I also have a working VSTO-AddIn where I used the following code, but was not able to find the corresponding JavaScript APIs.

private void InsertCurrentDate()
{
    try
    {
        Microsoft.Office.Interop.Word.Document activeDoc = Globals.ThisAddIn.Application.ActiveDocument;
        if (activeDoc != null)
        {
            Microsoft.Office.Interop.Word.Selection selection = Globals.ThisAddIn.Application.Selection;

            // Check if we are in a table cell
            if (selection.Information[Microsoft.Office.Interop.Word.WdInformation.wdWithInTable])
            {
                string dateString = DateTime.Now.ToString("d"); // Format the date as needed
                selection.TypeText(dateString + " "); // Insert the date and a space

                // Now, attempt to move to the next cell
                object unit = Microsoft.Office.Interop.Word.WdUnits.wdCell;
                object extend = 1; // Move one cell to the right
                selection.MoveRight(ref unit, ref extend);
            }
            else
            {
                selection.TypeText(DateTime.Now.ToString("d")); // Just insert the date if not in a table
            }
        }
    }
    catch (Exception ex)
    {
        System.Diagnostics.Debug.WriteLine("Error inserting date: " + ex.Message);
    }
}