Here is the translation following your guidelines:
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When An Zhifeng returned, his demeanor and tone had improved significantly. He immediately ordered the teleporter to Giant Ring Star to be reactivated and watched as the three entered the teleporter and left for Giant Ring Star.
When Lin Shen and his companions arrived back at Giant Ring Star, Lin Shen finally breathed a sigh of relief.
*If they had been taken to the Star Lord's Mansion, it would have been impossible to leave without handing over the Ascension Egg. And even if they surrendered it, their survival would still have been uncertain.*
*Fortunately, Tian Xun's reputation was powerful enough to work in their favor, and the three narrowly escaped the ordeal.*