The formula contains "minibrots" after a fashion, but they can be hard to find (lacking a critical point as normally defined). Here is how to find some.
First, a normal Mandelbrot image showing some buds and minibrots:
Note how one minibrot is straight out from the bud along the line from its base through the biggest sub-bud that's on roughly the opposite side. The much larger and more prominent one is off to one side.
This suggests how to try to find minibrots in the formula.
Here is a shallow image of this formula, sliced in parameter space.
There are areas where arcs of buds are discernible. We would prefer one where there's a lot of dense foamy tangles and not just a few stray dendrites about, as a few stray dendrites might all miss the minibrot that lurks in a neighboring dimension, so we zoom into the arc inside the hollow, at the hollow's lower-left, where there's a lot of foam:
The color scheme has been chosen so black contrasts fairly strongly with it.
Note at position 1, a ghostly darkened shape that may be a minibrot. It has approximately the correct shape. Its relationship to the buds nearby is different from what's typical in the plain M-set, though. It may be worth investigating but there are more promising targets.
Position 2 is lined up along the axis through a bud, similar to one of the minibrots in the plain M-set image discussed earlier. There are a few specks that seem darker than the other bluish bits in the same vicinity at this spot. (A high res display may really help spot this sort of thing!)
Position 3 is a slight darkening that's just past another bud, related to it similarly. It's less promising in one respect: it's so faint and small it may be nothing. It's more promising in another: the bud, and the position's relationship to the bud, are much more exactly matching normal M-set buds in form, relative positions, and proportions.
We choose position 2. Zooming at position 2 reveals this:
A field of small black nuggets scattered about near the image center, surrounded by blue and yellow foam. The nuggets are shaped like small filled-in quadratic Julia sets -- this is what happens when the foam occupies the same space as the dimensionally-displaced minibrot, thus making the minibrot visible, after a fashion, and providing interesting shapes to explore.
Turning all escaping points white reveals a distorted minibrot outline:
It's got some holes in it but it's definitely a somewhat-warped minibrot.
(I checked, and all 3 positions marked turned out to harbor minibrots, not just #2.)