What's the name of burning paper for the dead during the Spring Festival?

You misunderstood, this is not called resignation. Traditionally, it is called ancestor worship, which has nothing to do with ci. Saying goodbye to the old and welcoming the new refers to the old custom of Chinese New Year, in which relatives and friends pay New Year greetings to each other and wish each other peace. It's called "resignation"

If it must be related to resignation, it must be sacrificed, there must be ancestral halls, and sacrifices must be made to the gods. It has nothing to do with burning paper.