Background
In catholicism, there are 24 autonomous particular churches sui iuris, one Western and 23 Eastern. All of these churches are in communion with the Pope, and thus are considered, for all intents and purposes, Catholic.
When I was reading Orientalum Ecclesiarum, I was curious if there was no limit (other than 24) on the number of rites a Catholic could profess to be a part of. The only statement I could find that implies "only one" was found in the 6th paragraph:
Finally, each and every Catholic, as also the baptized of every non-Catholic church or denomination who enters into the fullness of the Catholic communion, must retain his own rite wherever he is, must cherish it and observe it to the best of his ability...
However, nowhere is this papal decree could I find anything explicitly banning professing more than one rite. Hence this lead me to the question...
Question
Could a Catholic believer profess as many rites as he or she pleases?
Note: This is different from Can any catholic rite call themself Roman Catholic? because I am not asking about the validity of any one rite being equivalent to Roman Catholic, but rather the ability to profess differeing rites within Catholicism.