Brake squeaking weirdly when pressing the brake pedal?

The most logical cause is the wear indicators are saying it's time for a brake system inspection. Depending on how the linings have been wearing, some squeakers make a high-pitched squeal when the brakes are applied, and sometimes the squealing only stops when the brakes are applied. Wear indicator squeal is usually much easier to hear when you pass a nearby building and your window is open.

At the mileage you listed, it would be normal for this to be the vehicle's second or third brake job, especially if you do a lot of city driving.

New pads shouldn't be worn down to the squeakers yet. In rare cases it is also possible for a small pebble to find its way in and get embedded in one of the linings. Usually that makes more of a light grinding noise that you may not even hear.

Another thing to look for is a metal splash shield right behind the rotor, that got bent or deformed. When they do get bent, the edge usually rubs on the outer edge of the rotor where a ridge of rust develops. That makes a rough grinding noise but it's not very loud. If the shield rubs on a shiny wear-section of the rotor, the squeal will likely be higher in pitch, and more squeal than a growl.

It's also not unheard of for a squeaker to have been bent during pad installation, or for an anti-rattle spring to touch the rotor and make a squeal. Minor things like that are often adjusted for no charge by the shop that did the last brake job. How things like that are handled varies from shop to shop.

Let me know what they find and how it gets handled.