To what extent is the hadith "Indeed, the Dajjal will emerge from a rage he feels" authentic, and will the Dajjal emerge because of a rage over the corruption of his project?

The Hadith is authentic, narrated by Muslim and others. No specific reason for the Dajjal's anger was mentioned. The meaning is that if Allah Almighty decrees the emergence of the Dajjal, He will cause something to anger him.