Use ChatContextEngine as a router to have multiple data sources

[LouisTeilliais]

Hello,

Currently, I use QueryEngineTools and RouterQueryEngine to change the source of data according to the context. Is it possible to have a router also for ContextChatEngine because at this moment I feel that the RouterQueryEngine are "one-shots" of question-answer.
The goal is to create a real chat which is not possible with RouterQueryEngine.