What date is the latest Mt. Fuji mountain huts stay open where I can get my walking stick stamped?

by Abhi
(England)

I got 2 questions as I booked leave from work from 5th September 2023 until 18th October 2023

1. What date are the latest that mountain huts will you get stamps on stay open ?, The reason I ask this is that I visited a few years ago on the 24th of August

Now I’ve booked leave from the 5th of September but with the mountain hots for the stamps be open that time or do I need to visit earlier ?, If I need to visit earlier can someone tell me how much roughly earlier I need to be there for at the latest So I can change my life accordingly

2. Also I just wanna do Mount Fuji once as I’ve done it before on the Yoshida Trail, For example can I go up one Trail and gold down another tried to get two sets of stamps, For example go up the red trail but go down the blue trail

I appreciate 2023 nobody knows the dates but I would like some advance notice so I can stop changing my vacation time accordingly now as opposed to other people at work book those earlier dates for their own stuff