They could run it weekly with no issues time wise. Just start the preview phase when the review phase of the last one ended.
Hopefully they don't decrease the frequency of tb or tw for this since that means less rewards we are already getting. And new content typically means new rarer rewards. After all hstr didn't mean haat and pit were run less often.
And it is not possible to fit a week long event into the day betwwen tw and tb. So I would guess since they don't typically make older content run less often that it'll run either with tw or tb every other week. Or if we're lucky every week.