By Sinead Carew NEW YORK (Reuters) - Dish Network Corp said it would not make a new offer to buy No. 3 U.S. wireless provider Sprint Nextel in time for a Tuesday deadline and would instead focus on its tender offer for Clearwire Corp. The decision may be good news for Japan's SoftBank Corp, which is also trying to buy Sprint. A purchase by SoftBank could provide Sprint with access to more capital …