1 - first i no more can access my desktop gog galaxy 2.0 (beta)
yesterday was fine and is it when i changed my email yesterday
error said i have no invite or something like that.

2 - second i keep get emails from GOG (wishlist deals, news,... ) on the old email not the new email !

not yet i don't know how things works here that why i post in forum first
i will open a ticket or contact support with the way how is work here

thankfully the two-step auth.. comes to new email

If using GOG Galaxy 2.0 then whilst it's in beta you need to keep your account using the email address you signed up to the beta with.

Change your email back to what it was before and you should then be able to login to Galaxy again.

i will forget about this gog galaxy 2 beta, i will go downgrade the gog cilent
now the case is about the email, i don't want to change it back
i change my email because i don't what my GOG have any business with my old email (i no more interesting with the old email)
i want gog send me news and wishlist deals and sales on the new email

Try unsubscribing and resubscribing.

How ?
if from settings > subscriptions (not worked)

Solved when contact support via Email