Disclaimer…I am an audiologist and there are valid reasons not to recommend this testing until the older age.
I'd be very cautious about dx and treating CAPD or APD at age 3. Typically testing isn't recommended until age 7 (and only with certain parameters…must have absolutely normal hearing, no middle ear infection or fluid etc) for a variety of reasons.
Not my area of expertise per se but I know there are expensive programs that are recommended for a variety of dx (including APD) without a lot of research backing their use and I would be very wary of pursuing any of that at age 3, regardless of how gifted.
If there are specific areas of concern, I'd address those, possibly with an SLP, after having a full hearing evaluation.
