  Motivated by classical combinatorial Schubert calculus on the Grassmannian,
Huang--Pylyavskyy introduced a generalized theory of Robinson-Schensted-Knuth
(RSK) correspondence for studying Schubert calculus on the complete flag
variety via insertion algorithms. The inputs of the correspondence are certain
biwords, the insertion objects are bumpless pipe dreams, and the recording
objects are certain chains in Bruhat order. In particular, they defined plactic
biwords and showed that classical Knuth relations can be generalized to plactic
biwords. In this paper, we give an analogue of Fomin's growth diagrams for this
generalized RSK correspondence on plactic biwords. We show that this growth
diagram recovers the bijection between pipe dreams and bumpless pipe dreams of
Gao--Huang.
