If wealth can't be created by the government due to "logical necessity," then there are no unique cases where in some sense, the government creates wealth.
I don't recall Sowell's answer to Analytics going into any detail, but what is quite clear is that taking money out of the economy through taxation and building a bridge, while wealth (the bridge) materializes somewhere, this is only because it was shifted from somewhere else. The process is completely circular. No net net wealth is "created," only redistributed from one use of those resources to another by the state.
Whether or not government spending can create wealth is ultimately an empirical question, there are no constraints of logic that prohibit government intervention from creating wealth.
Elementary logical thought and the most rudimentary economic knowledge are all that is required to come to the obvious conclusion.
In fact, you only screw yourself by logically constraining government intervention to reallocation, because if that's the case, then government intervention can't diminish wealth either! You can't blame government intervention for hurting the economy!
You're problem appears to be that you have a great deal of difficulty thinking logically, in which case, logical argument will be of little avail.
There is one thing, and one thing only, that creates new net wealth, and hence, economic growth, and that is productive economic activity. Government engages in no productive economic activity. All its activities are utterly parasitic and based on the transfer of wealth from the private sector to itself (as it can generate none of its own in any real sense, unless you think the creation of fiat money out of thin air is wealth creation) which is then reallocated -redistributed - to other uses. No new wealth is created, only shifted and transferred from where it would have been utilized in the private sector to another use of those same resources as determined by political considerations. The economy is the same size it was before the the pile of bricks were moved from one side of the yard to the other and then back again at taxpayer expense in a government jobs program.
Its easy for government to destroy wealth. Its called taxation, regulation, the manipulation of money and credit (creating debt bubbles and boom and bust cycles) and inflation.
Oh wait, I can hear you scrambling to change your position to: the law of conservation of wealth holds during government intervention, but after the intervention, the effect can be negative, thus crashing the economy. Well, if that's true, then the converse is a possibility as well. In other words, we've caught you red-handed playing a semantics game to score a rhetorical point rather than make an intellectually serious point about economics.
If you actually can adduce an argument showing why I should believe that the state can "create" new, net wealth in an economy, please do. You never have, as of yet, but you may wish to give it the old college try.