Automatic DataGridView update AddWithValue

Hello guys,
I have this code which does:
Automatically updates changes in datagridview
I need it to:
As I don't have column named "akce" in datagridview I need it to automatically insert to every new row value from zakce.Text to column "akce" in sql table.

Is there any way to do that? I tried the code which is now commented but it creates new row instead adding this to new row in datagridview.

da = new SqlDataAdapter("select * from zajsluz WHERE akce="+zakce.Text, spojeni);
                //SqlCommand a = new SqlCommand("INSERT INTO zajsluz(akce)values(@akce)");
                //a.Parameters.AddWithValue("@akce", zakce.Text);
                sqlCommandBuilder = new SqlCommandBuilder(da);
                dt = new DataTable();
                da.Fill(dt);
                dtg_sluzby.DataSource = dt;



 public void btn_uloz_sl_Click(object sender, EventArgs e)
        {
            try
            {
                da.Update(dt);
                MessageBox.Show("Služby byly editovány!");
            }
            catch (Exception se)
            {
                MessageBox.Show(se.Message);
            }