How to deal with 3+ message formats in mule?

How to deal with 3+ message formats in mule?

Let's suppose i'm dealing with 3 (very) different messages formats inside
my Mule ESB, i'll call them A, B and C. They could be XML (via socket),
some custom text-format and SOAP transporting another kind of XML (it's
not the same that is transported via socket), for example. All of them can
be transformed into each other. A, B and C carry the same information,
only in different formats.
Each one of them will have it's own entry point in the flow, some format
validations etc..
But, there's some (a lot) of logic that i need to be executed in all of
them like dealing/extracting some information, routing based in the
content, enriching etc etc..
What should i do? I mean, i did some research on integration patterns but
didn't found anything about this situation or similar.
The easier approach sounds like taking one of the formats (let's take B)
as the "default" one of my "main-flow" and implementing all the common
logic based on it. Then, every message that arrives will be transformed to
B and then transformed again to the destination format, even if the two
points uses the same format.
Examples:
1) One "A" hit my app, then it's transformed to "B" to execute the
common-logic, then it's transformed again to "A" to be delivered.
2) One "C" hit my app, then it's transformed to "B" to execute the
common-logic, then it's transformed to "A" to be delivered.
Then, my question is, does Mule have a feature that provides me a better
way on doing something like this or the solution above looks reasonable?
Thanks in advance.