FFmpeg command to find key frame closest to 3rd minute

I use FFmpeg to extract a keyframe at the 3rd minute. This means that it is the 3*60*25 th frame (assuming 25 FPS). Now, often this frame is not a keyframe.

I want to extract a frame closest to the above frame but ensure that it is a keyframe. This means the frame may occur a few seconds before or after the third minute of the video.

I have looked everywhere without any luck! I am doing this on Linux, so if you are using a FFmpeg with something specially installed or bundled, let me know!