You clock into your job like normal and that is used to measure how much labor goes into the commodities your company is making. You are paid labor-vouchers commesurate with those hours. In the aggregate this means the prices in the economy = the wages paid out.
Measuring the time you clock in at work isnt computer magic, its an objective measure which anyone can understand. Whether or not commodities can be produced cheaper or with less working time is more related to things like automation.
Cantors diagonalization meme argument. If this were true, even capitalism wouldn't work, you don't need to predict the future to plan an economy or a capitalist business. Obviously, there's a process of trial and error just like under capitalism, some businesses will fail and some will succeed. If a firm starts producing a commodity that no one buys, that will signal them to reduce or eliminate production of that commodity. If they sell out, they'll produce more. Again, not complicated.
As opposed to your boss handing you a schedule and telling you to show up on certain days and hours? in any case, the scheduling of work is something that would more likely happen at the firm level, if the workplace is run democratically, you would all vote or bid on your work hours.
It wouldn't be a central system any more than following a law passed by referendum is a 'central system', you are acting like the will of the majority is some tyrannical imposition.
Also, there is some tolerance for inaccuracies in the system with regards to optimization techniques.
The reason people aren't writing you a wall of text is because we're not your teacher. Literally every objection you've brought up, from mises higher-order goods argument, to hayek's information argument, to the diagonalization argument, have all been addressed in mathematical detail by economic computability theory.
The fact that you keep bringing them up is evidence that you have not really done your due diligence or research, and for some odd reason you would rather learn about it from some random guy on an imageboard than actually reading a book.
Being ignorant of an argument is not the same thing as refuting it: for you to posture as though you have refuted any of this whilst regurgitating the same old uneducated arguments is extremely tiresome, and I'm beginning to think you're a troll.