It's not camera shake.

It's a focus issue. Notice that the window frames at the far left are nicely in focus, where the closer frame on the right and in the center are out of focus.

This probably happened because the camera was "fooled" by the reflection. It focused on what was being reflected, which is farther away, more similar distance to the frames at the far left.

That's a pretty tough shot to do hand held. It would have been a lot better to put the camera on a tripod, use a lower ISO and a longer shutter speed, plus a smaller aperture for more depth of field. Another way it could have been done using a larger aperture would have been to take several images using different points of focus, then "focus stack" them in post processing. It's next to impossible to take the multiple images needed for a focus stack without a tripod, too.

A polarizing filter would have ruined the image, in my opinion. A C-Pol would have reduced or eliminated the reflection, which is one of the more interesting aspects of the scene.

I do not think you can get around the reflections from the surfaces of the layers of stacked glass. DoF will probably not help. A 24mm WA lens on a FF camera has a huge amount of DoF even wide open. This is where you take another picture in the other direction aiming up wards, and the do some Photoshop replacing the "bad" reflected image. You have picked an extremely complex situation. You might also ask for specific advice from a interior architectural photographer. They have to replace windows with cloning and other techniques all the time.