This is the fourth “Silver Strikers’ Tournament” when you include the first tournament held by O'Shea's at the Flamingo in December 2001. However, this is the third Annual Silver Strikers’ Tournament held At the Vegas Club. (January 2004, 2005 and 2006)

It can only be called annual if it is an event occurring yearly.

Since no tournament was held in 2002 and 2003 the first one doesn’t count for the annual title.

Soooooo…” Third Annual Tournament “ is correct