Does An Qingxu's plot of killing his father really exist in Glory of Datang?

It is true that An Qingxu killed his father.

An Lushan had an eye disease. Since he rebelled, his eyesight has gradually declined, he is blind and can't see anything. At the same time, he suffers from back inflammation, which makes him grumpy. He suspected that this would be harmful to the people around him, and he was a little dissatisfied with the people around him who served him, so he opened his mouth and scolded, punched and kicked. When it is serious, directly kill people to relieve boredom. A small mistake.

1. When he was emperor, he seldom came out to talk with ministers, but conveyed it through his cronies. Although Zhuang Yan was respected by his relatives, he was sometimes whipped by An Lushan. Cause deep resentment in my heart.

2. The eunuch Li Zhuer often undresses him, waits on the left and right, and is often punished by flogging. Resentment has been hidden in my heart.

3. An Lushan's favorite Duan gave birth to a son. An Lushan dotes on this little son, and often wants him to take his place. An Qingxu was often worried about being abolished, and Zhuang Yan was afraid that the palace incident would be bad for him, so Zhuang Yan colluded with An Qingxu and Li Zhuer to murder An Lushan. ?

How did these three people plan:

In the second year, Hengli (father of King Li Chu of Guangping) boarded the plane. Zhuang Yan, Li Zhuer and An Lushan quietly entered An Lushan's residence. When the guards saw that it was Zhuang Yan and An Qingxu, no one dared to move. Split division of labor, ZhuangYan and AnQingXu stood outside the tent with a knife, and Li Zhuer entered the tent with a broadsword, aiming at An Lushan's abdomen lying in bed and slashing a knife. An Lushan always put his sabre on the bedside for self-defense, but Li Zhuer secretly took it away in advance. At this time, he got the knife, and knowing that something was wrong, he hurried to touch it. Where else can he touch it? He shook the tent pole angrily and shouted, "The thief will be punished by Zhuang Yan." (I think Zhuang Yan came to kill him.) During the shouting, blood and intestines flowed out of his abdomen, and he was beaten several times and died soon. He died at the age of 55.

How do three people appease the people:

An Qingxu immediately dug a pit several feet deep under the bed, wrapped An Lushan's body in felt and buried it overnight. And ordered the palace to be strictly confidential. The next morning, Zhuang Yan announced to his men that An Lushan was dying and appointed An Qingxu as the Prince, and all military affairs were handled by the Prince. Immediately acceded to the throne, revered Lushan as the emperor's father, and then sent out obituary.