Those links I posted above does answer your question if you read through it.
will it continue working like other products, once your Object Desktop licence expired?
If you have Object Desktop Classic Subscription:

If your Object Desktop is not Classic ie Purchased after May 2023. The product will stop working once your subs lapse.
what's the thing with the tokens, does it mean you regularly need to buy tokens?

DesktopGPT is included in the current Object Desktop subscription?
Yes it does.

Thank you,
Basj,
Stardock Community Assistant