Longitudinal research with randomization and personalized followup

Hello guys, I have a doubt about how to program a questionnaire.
I am doing a logitudinal research that starts (t0) with a randomized scenario (3 conditions). The data collection will be anonymous via a link on the internet, but we can ask people to leave their emails.
I would like to invite people for 2 more data collections (t1 and t2) at a 1 week intervals.

In this case, I would like to invite everyone who responded to condition 1 in the randomization of t0, to answer the same condition 1 in t1 and t2.

As well as who answered condition 2 in t0, answer condition 2 in t1 and t2. Same in condition 3.
In other words, there is a randomization at t0 but at t1 and t2 I would like to invite people, through qualtrics, to follow the condition answered at t0 and at defined intervals, every 1 week (automatically).
Is it possible to program this in qualtrics? Do I need to create 3 new questionnaires for each of the three scenarios for the following times (t1 and t2)? Can I schedule automatic sending of emails at defined time intervals in these cases?
Best regards

Angelo Brandelli Costa