Do the prayers have to be redone due to not performing ghusl after the emission of a yellow fluid, whose spot dried and whose smell became like eggs, knowing that it was emitted immediately after waking up, and there was no lust or wet dream?

The fluid that came out of you while awake after wiping, if its smell is like that of an egg, it is most likely maniyy (seminal fluid). You are not required to perform ghusl (ritual bath) because of it unless it was discharged with desire; rather, only wudu' (ablution) is required. If you prayed without wudu', then you must repeat the prayer. Do not repeatedly wipe after waking up, as that may lead to waswasah (obsessive whispering/doubts).