All bladders without exception do like yours, when pumped up outside the LE.
Bladder will still work just fine now, even after this aneurism, so just use it.
But next time you seek a very small pinhole, or any bigger puncture, first locate the area like you have done, with kite pumped hard, either with soapy water or held under in the sea on a calm day.
Then take the bladder out, only the part that is needed (typically only one side), and pump a bit of air inside just in the neighbourhood of the assumed hole.
Now take with both hands around this area, lock the air inside as a bubble, and put it underwater in a big basket with water (or a tub if you got one)
You can press more pressure now, and turn it around also, to find even the tinyest pinhole.
This is much more gentle on the bladder, as if you pump it up in full, trying to get sufficient pressure to find a pinhole, you will blow the bladder before this point - it is NOT meant to be pumped up hard when outside.
Peter