I can think of a really silly way to measure LUFS in Audacity.
Select the sample. Analyze > Contrast > Foreground and write down the RMS number (or just leave Contrast open).
Loudness Normalization to some approximate LUFS value.
Analyze > Contrast > Background and see if Foreground and Background RMS values match. If they don’t, Edit > UNDO back to Loudness Normalization and choose a different LUFS value. When Loudness Normalization hits the correct LUFS value of the sample, it will do nothing and the two RMS values will match.
I had to repeat the “edited.wav” a few times to get an accurate level, because the “integrated loudness” measurement needs to measure an average over time.
Ok, I trust audacity and stop.
Last thing, I hope, you started from edited.wav and the apply the workflow. But edited.wav is already edited by me, so is like the workflow is first the mine and then your.