I've not tried the more formal start to the game you described in your post. (littledogtips.com)
Sales doesn't end with a signed contract, that is the just the formal start to a relationship. (inc.com)
At the Labour women's conference, taking place before the formal start of the full national event on Sunday, Mr Corbyn said his proposed review of party democracy would ensure wider support for his policies. (itv.com)