Hey guys, so I'm an amateur street photographer, and I'm trying to achieve a fisheye effect, as you can see.

The matter here is that I can't get the same effect that the Windows Photos app gives to raw wide photos (like the 3rd one). In my attempt, I created the 1st image, but the Photoshop lens correction doesn't achieve the same effect. as it expands the center, unlike the Windows algorithm, and it also loses information from the edges. Plus, the black corners don't blend/blur with the image. How would you guys achieve that effect?

English is not my mother tongue, so please excuse me if I'm not explaining my ideas quite well. I hope you can help/advise me.