Some DAWs call what you are describing as "Take Lanes" because each recording revolution is considered a take.
DAWs can manage a large number of tracks so even though each take is connected to a track each take is managed like a track by the DAW until you decide what to do with them. Band-in-a-Box can manage about 27 tracks if you count the Master Output, Default Synth and Chord Output as tracks. Tracks do not have Take Lanes.
Band-in-a-Box lets you enable "Overdub underlying Audio". That means the audio from your first pass and each successive recording revolution are merged into one audio. In hardware recorders the capability to layer audio onto one track was usually named sound-with-sound. Sound-with-sound was fairly common with single and dual track recorders but dropped out of favor once track counts became four and higher. Once four track recording became popular sound-on-sound rose in popularity. Sound-on-sound lets you perform the same kind of tricks as sound-with-sound but normally requires more tracks.
One example of how you might use overdub underlying audio would be to record a piano part where first you record the right hand playing a melody and do a second pass to record the left hand playing chords.
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