What is going on with this slitherlink puzzle with clues $2^3$?
We can actually get pretty far using simple deductions, and for this reason I will not be detailing them. (I missed a few other deductions once again-- I only noticed them near the end of solving.)
Note that the upper side of the 1 at Row 3 Column 8 cannot extend to the right because there would be no way for the 2 to its right to be fulfilled validly; therefore it must go upward. This forces several other lines:
A $3^2$ was hiding all along :000
This was a bit easier than the earlier slitherlink posed by OP, so I was slightly more uncertain about what parts and pictures of my solving process should be included; hopefully this is sufficient.