I'll forward the loop I did (four repetitions) after I've checked my email, but what I did was the following:
(1) I opened a DAW (Acoustica Mixcraft, but just about any DAW should work); loaded the audio clip with the badly-timed repetitions; carefully examined the audio waveform to determine the point where the repetition began (which, using the DAW's default tempo of 120 BPM, was toward the end of measure 8); cropped the clip from measure 9 onward to remove all of the repetitions; trimmed off the little bit at the end of measure 8 where the loop started to repeat too soon; and also trimmed off a little bit of silence at the beginning of measure 1. That essentially gave me a clean copy of the original loop. By the way, the part where I examined the waveform to locate the point of repetition was a little tricky, since the main loop contains a bit of repetition in each measure or pair of adjacent measures, except with some slight variations, so I used a trick that I've used throughout my life to spot differences between two similar images-- I crossed my eyes so the parts of the waveform overlapped, until I was able to find where the waveform's pattern began repeating without variations.
(2) Once I had the clip trimmed down to a single instance of the loop, with the beginning of the first beat properly lined up with the beginning of measure 1, I listened to the clip while watching the waveform to verify which peaks are supposed to coincide with the first beats of each measure. The peak (i.e., drum beat or bass note) that was supposed to be lined up with the beginning of measure 2 was actually occurring toward the end of measure 1, which meant that the measures as shown by the DAW were a little bit too long-- i.e., the default tempo of 120 BPM was a little bit too slow. So I increased the tempo one BPM at a time until the beginning of each measure lined up with the peaks correctly-- which, as mentioned in my previous post, turned out to be a tempo of 126 BPM.
(3) Measure 8 of the clip was too short, so I added another short clip of silence to the track and merged it with the original clip. This made the clip a bit longer than 8 measures, so I trimmed it down again to exactly 8 measures. Then I was able to drag the right edge of the clip in the DAW to create more repetitions of the loop. I did that until I had 32 full measures, or four repetitions of the 8-bar loop.
(4) Then I "mixed down" the track to a new MP3 file. I also saved my work in the DAW in case I needed to make further changes to it.