I thought the chirping was easily identifiable in that audio
Of course. But that makes sense. You already knew the actual sound so you knew what to listen for and when to anticipated it when listening.
What else would it be if not the fans?
Coil whine. Transformer hum. Even "singing" capacitors - which can be VERY annoying.
I note on your new sound file, I no longer hear the hum I heard before. I am not hearing any chirp either, or whine, though my tinnitus might be masking that frequency this morning. That said, the remastered Roy Orbison and Oh, Pretty Woman sounds great and full range with my surround sound, THX speakers, so don't know why I don't hear any whine.
Have you physically isolated the PSU, or used the inner tube stethoscope to positively identify the sound as coming from the PSU? This is essential!
The problem is due to how PSUs physically mount to PC cases, plus the fact PC cases are cavernous echo chambers. The solid contact between the PSU and case causes PSU sounds and vibrations to easily reverberate throughout the case and can make the sound/vibration appear to come from other than the actual source.
You would be very upset if you sent your PSU in for replacement only to discover the sound is actually coming from your graphics card or motherboard. Plus, if Be Quiet! tests the PSU and finds nothing wrong, they can charge you a restocking fee.
Sounds like the fan is catching \ rubbing a little.
That would be a perfectly rhythmic pattern though, which this isn't.
It would change as the rotation speed changes. But a visual inspection should easily determine if the blades are scraping a wire or foreign object. And the OP said he can't see anything like that.
@nem2 - do note there are no "user serviceable" parts inside a PSU in terms of warranties. You risk voiding the warranty if you open the case. Not to mention, anything that plugs into the wall can kill! And "IF" faulty, then sadly, residual deadly voltages can remain for extended periods after power is removed.

Therefore, opening and servicing a PSU should only be done by qualified personnel.
Typically, coil whine does NOT affect the life of the offending component. So whether or not you wish to return it under warranty support is up to you. Me? If the sound is not supposed to be there, it is not acceptable. And coil whine is not supposed to be there.