1. Click the tiny icon in the bottom right corner of the styles widget. It will open essentially the same widget, but as a vertical list and with a few additional controls; this is what we're after.

2. At the bottom there are three nearly identical buttons without labels. Click the 2nd one from the left (the tooltip says "Style Inspector"). This will open another floating window. We don't need it per se, but, again, it has extra controls that we need.

3. At the bottom of the window there is another set of unlabeled buttons. We need the first one (tooltip "Reveal formatting"). (Note that the icon is also very similar to the three icons in the previous panel.) Click it and you'll get the "Reveal formatting" panel. This is our target

4. Now close the other two panels. You're ready.

I write code to create reports in MS Word XML and I need this panel to see if I'm getting the code right (i.e that all non-obvious flags like "keep with next" are in place). I know no other path to this widget. And since I don't write such code often, I keep forgetting how I get to this panel. E.g. yesterday I tried to find it, but failed. It's good I saw you reply and made another effort to retrace the steps :)

I totally think a classic Mac-like menu consisting solely of text would provide better discoverability here.