Use Bayes posterior as prior for next null hypothesis test
I have a number of experiments essentially testing how two experimental conditions do not differently influence the dependent variable. Thus, I am interested in the BF01 I guess. As I conducted the experiments one after the other, it would be fantastic if I could use the posterior of the first Bayesian analysis as the prior for the following analysis, and so on (it's four experiments so far). This way I hope to get a good estimate of how the two conditions do or do not differ. And I'd love to use JASP, because I'm new to using Bayesian statistics.
Now my question is: is this possible to use a previous posterior as a prior for the next (null hypothesis) test? And how would I proceed here?
Thanks in advance.