BANGKOK — Thailand's prime minister said Saturday that she will not cling to power and that she is ready to resign and dissolve Parliament if all parties agree to hold new elections. But Yingluck Shinawatra acknowledged that the leader of the country's biggest anti-government demonstrations in years has rejected all of those things, and said she sees no quick end to her country's deep political impasse. The only way forward, she said, is to talk. "Our door is still open" to dialogue, Yingluck said in an interview with a small group of foreign…