The dollar can be used once a day. It has to be a dollar’s worth of a product, service or use of a product. For example, A dollar’s worth of a $100 TV would be the life of the TV divided by 100. You would get to enjoy the TV for that amount of time. The product or service is instant and doesn’t require any preparation. It just appears and disappears. Or you could have a TV permanently that is worth one dollar.
One dollar of electricity at the cheapest rate available.
Removing all transfer and admin cost can produce it anywhere and do super cool stuff like ice on the dessert or light anywhere.
This cam translate into a fun gig that yields good money one dollar at the time.
Buy a plot of land, preferably with a house on it. If you assume that the land will last until the death of the planet, even if it costs hundreds of thousands of dollars to 'buy', $1 / day worth of that would still last you for your lifetime. If it doesn't last that long, you could calculate the length of time until the death of the planet (or of the human race) by dividing the time you got it by the price in dollars, and that'd be valuable information, too. Bonus points if you only keep it for a few minutes.
I'd argue that the taxes are a separate cost, which would be paid separately rather than being included in the "purchase price" you're using your dollar to offset. In OP's example, the TV requires electricity to run, but the cost of that electricity is (presumably) not bundled into the purchase price. Just like maintenance on the house would not be included up front, as it's a separate, additional cost.
If you reject that, I'd argue that the land will exist well beyond the fall of civilization, and at some point, there won't be a government to tax it. It will, however, still exist. If the land costs $400,000, and taxes are $10k / year, and we expect Earth to last about 8 billion years, and we expect government taxing the land to exist for, say, generously, 10,000 of those years, that's only a net cost of $0.0125 per year. In this case, the land itself only costs $0.00005 per year, so you could buy quite a lot of things for your dollar, in fact.
1$ worth of data transfer from any server. Using S3 pricing as an estimate, it can give me 111 GB of transfer out.
I could use partials of it to extract various companies' customer data and extort them for ransom; or download the source code of a popular commercial program then expose it for everyone.
Get the mail server data, lots of unencrypted internal company info you can use for insider trading (it's going to take any tax authority a while to notice joe nobody getting rich suspiciously well timed)
I'm pretty sure I can find $1 worth of something I'd like, but I cannot right now, so probably if possible just letting that $1 go towards development of something like SuperTuxKart or Shattered Pixel Dungeon each day. Not much, but better than nothing.
So what happens if the thing I buy is information? Technically would have infinite lifespan— but if I only remembered it for a certain amount of time (if tied to a service or something, maybe could copy it before the time ran out, eg in the case of a movie or Death Star plans etc)