  In this paper, we continue our study on the topologization and functional
analytification in $\infty$-categorical and homotopical analytic geometry. As
in our previous articles on the $\infty$-categorical extensions of certain
analytic and topological contexts, we discuss the corresponding prismatic
cohomological constructions after Bhatt-Lurie, Bhatt-Scholze and Drinfeld, and
the corresponding Robba stacks and sheaves after Kedlaya-Liu.
