TL;DR:
- Open 11 screws.
- Remove the cap on the buzzer.
- Done.
The Cascade Personal Fan has a very loud beep. I disabled the beep by removing the cap from the buzzer. I am documenting my steps because in my quest, I saw a lot of people with the same issue.
We got a 2-pack from Costco and while the fan is very quiet, the beep is quite loud. Seems like everyone else has the same issue with this fan. All we need is a number 3 Philips screwdriver.

There are two of them in the pack (because of course, it's Costco):

First, we start with these four screws in the back.

We can see the control board:

We need to remove another three screws:

Can't really remove the connection with the board screwed to the top. We need to remove four more screws:

A closer look at the board (open the image in a new tab for a larger view):

On the back of the board, we see:
Home Star international Ltd
25400640000 V002

We see a Piezo buzzer (I had to Google the type) marked with
ZLFY
. Looking around the internet, it seems like many household items use
these buzzers and a lot of people are annoyed with the sounds. I saw guides on
how to remove these buzzers for many items.

The second result for searching ZLFY
is the datasheet. It appears to be a
ZLFY ZL-YDW12055-4005PA-7.5
:
I used a flathead screwdriver to pop the buzzer cap:

Having given away my soldering kit before the move, I was thinking I needed to unsolder the buzzer but the cap was actually easy to remove:

And done:

Enjoy no beeps and add Hardware Hacking
to your resume /s.