As for a story where the opposition has greater fluid thinkoomph and a far greater depth of cumulated deep-thinkoomph and has had time to acquire roughly equal resources and holds the advantage of surprise - well, what would be the literary point? It wouldn't even make a good sad story about a desperate doomed battle. If the truly smarter agency has had time to think and prepare and plan, it's not going to battle you at all. It's not going to attack you through any channel you've thought of, unless your knowledge of that vulnerability still leaves you helpless to defend it. The smarter agency is not interested in fighting you if that can be avoided. It would rather just win, in a way that doesn't make a good story.
If you get a chance to fight - if you get a chance to act - the alien is doing it wrong. There does come a point of wisdom beyond which an agent does stop doing it wrong; or at least, stops doing it wrong in ways that sufficiently smaller agents can understand in advance as wrong. If there's extrauniversal forces that want things to be dramatic (dath ilani authors, for example), they'll have to content themselves with picking a dramatically suitable moment for the instant win to occur, or maybe focus on the aftermath (if there is one) - at least if they want their stories to be taken seriously by the Very Serious literary critics.
And if you had to derive a single cautionary message from all that dath ilani literature - about what if you end up in the position of opposing an agency of greater current and cumulative thinkoomph - and you do not have the advantage of surprise - and you do not have greater resources - that message would be -