Is "alluded to previously" unfitting here?

I am in a personal situation where I’m discussing a request that I’m making to an entity, and the reasons for that request. I discuss my reasons somewhat at length. (note all of this is in writing). A couple of sentences after this, I discuss a separate request, that I’m making for the same reasons as the previous one. I’m tempted to say "I’m making the same request for the same reasons alluded to previously."

But I am unsure if "alluded to" is appropriate here because I feel like typically when you use "alluded" it’s in a situation where the thing you’re "alluding" to wasn’t discussed at length. In my situation, I do discuss the thing I’m "alluding" to somewhat at length. So because of that, would "alluded" to be inappropriate word choice here?

There’s plenty of other words I could use such as "for the same reason that I discussed previously," but I am curious what others think about using "alluded" in this situation. I can see it going either way, and I’ve heard it used either way.