“…• cover times (see, e.g., Abe (2014Abe ( , 2018, Belius (2013), Belius and Kistler (2017), Comets et al (2013), Dembo, Peres and Rosen (2003), Dembo et al (2004Dembo et al ( , 2006, Ding (2012Ding ( , 2014, Ding, Lee and Peres (2012), Ding and Zeitouni (2012)); • the extremes of the randomized Riemann zeta function on the critical line (see, e.g., Arguin and Ouimet (2018), Arguin and Tai (2018), Arguin, Belius and Harper (2017), Harper (2013), Ouimet (2018), Saksman and Webb (2018) show that approximate branching structures are present in a huge variety of models. Hence, the approach of this paper might become relevant in applications beyond the study of "pure" BRW.…”