You may just about get away with that, below is a pic of my head I removed when stripping down the engine to do a big end repair about six thousand miles after the BHG repair, probably due to the three problems I had. (That’s another story) You can see the pressure marks left by the stock head gasket extend quite a bit out from the cooling passage, although I'm not sure looking at you pic how far out the damage is on the left side of the cooling passage. One option is to have it mig welded and then re shaved, at least its not near the combustion chamber.
