Please help me identify this corner sealing and finish material - look at the overall view, and then upper and lower details at right [more below pictures].



Pictured at left is pan and stitch image of . . . I'll call it, adhesive sealant moulding, used to finish the corner junction between the wall on the left and the window style on the right. Except at the top and bottom (and yes, stitching has caused distortion of the panned image), the alignment and thickness of the "moulding" is remarkably uniform . . . suggestive of the appearance of a drywall junction tape imbedment application. At the top and bottom of the moulding installation (pictured at right) can be seen evidence of manual manipulation applied to "finish off" application of the material. Whether this material comes in the form of a workable
"tape," or is extruded and applied into the corner is not apparent to me; and if the latter, I am unfamiliar with any ordinary "caulking" tool able to (so uniformly) apply "beads" of the pictured width [1 inch (+/-)] and thickness. For those interested in seeing the material first hand, the pictures were obtained during Rx pickup while waiting at the consultation window of my local Costco pharmacy.
I observed the material - whatever it is - to display physical qualities which could solve a longstanding, intractable problem with water intrusion into a wall cavity of our house:
- Very tough skinned yet pliable
- Very high tack and resistance to peeling or removal
- Seems to be permanent in every sense of the word.
- Obviously would be impervious to moisture penetration or bypass.
The only uncertainty might be its "performance" and durability when exposed to sun rays and the elements in exterior, unsheltered environments. But, I sense that the material could withstand just about any interior or exterior environment for a very long time. In some ways it is reminiscent of a . . . faux stucco/masonry material I sometimes see in the exterior walls of new buildings here: it looks and feels like hard stucco, but when pressed it is pliable . . . as if it was rolled on or sprayed (precolored or painted afterward), as opposed to requiring setting and curing in the case of "true" stucco. Perhaps that material and the within finishing sealant share some constituent materials in order to have such similar properties?
My basic question, then, is: can anyone advise what the (obviously commercial grade) material is called? And where it might be obtained? And with what tools it is typically applied? Or is it supplied in tape roll form? I would assume based on my observations, that the material could be applied to just about any exterior material . . . be it painted or unpainted wood, vinyl, metal, or even masonry or stucco. I would also guess it is expensive . . . more than even the best home center caulks; but it it stops our persistent winter water intrustion and the resultant damage, it would be worth it.
BTW, I did check with Depot and Lowe's but they could offer nothing similar, and no familiarity . . .
Thank you.