How do you run centralised production without some form of central oversight? How do you decide which commune gets the power plant or local food distribution hub.

You don’t have centralised production or centralised oversight, you have distributed systems and mutual aid.

How do you decide? Some far away central body knows best for the needs of the local people despite never being there? Are those deemed less important to suffer because statistics dictate someone else gets the goods.

Centralised production is the only option in some forms of production, is every town going to have it’s own steel mill or power plant?

See the mutual aid part? That means peoples can work together for larger scale needs.

People are capable of voluntarily working together to create complex things without being ordered at gunpoint.

Yes sure, but there will be centralised production and because of that implicitly a form of centralised power.

Not how it works buddy.

Can’t have power if everyone leaves a worksite due to some wannabe despot. Being distributed allows flexibility and choice.

And when there is no state apparatus to force people to be beholden to power, there is no power to stop them.

Doesn’t have to be one person, it can be the majority workers in a centralised workplace deciding to stop exporting something to a certain region because they don’t like them for whatever reason.
If a group of anarchists don’t want to associate with others, that’s their choice.
Sounds like a clustefuck, how do you organise internation production like that?