Small update below for further clarification

Why not use Audio edit in BIAB?

import the non-click track audio
adjust the bar lines accordingly
equalize tempo to your choice
add whatever tracks you need and they will line-up

after equalizing save the BIAB file and then also the audio file, which now is set to a single "click track" tempo, is saved
continue in your preferred audio editing software with the audio file

On the latest version