How to make sequential forwarding of letters?

Question

Programming

There is a box on the Yandex mail server, let's say [email protected] It is necessary to set up forwarding on this mailbox so that all incoming letters to it are forwarded one by one to 3 other mailboxes I have and at the same time a copy remains on the main one ([email protected]).
order:
the first letter to the first box the
second letter to the second box the
third letter to the third box the
fourth letter to the first box the
fifth letter to the second box the
sixth letter to the third box the
seventh to the first
and so on...
Question: how to implement this using Yandex mail, API, or in this case, you should write some kind of your own script? And in general, at the level of which it can be organized (on the server side, mail client programs, or something else?).
I am considering a solution by means of any mail (not necessarily Yandex)
Thank you in advance!

Answer 1

as I understand it, this task cannot be solved by ordinary filters and rules.
yes, just one by one. To balance the number of orders falling on a common box between managers (who each have their own box).