Simple enough to do.
Select the track
Position your NOW time to the gap between songs 1 & 2
Hit 'S' (for Split)
Now you can copy this portion over to your new project.
You could of course copy the entire wav into your new project and do the split there.
This is theoretically & in practice much safer as you're working on a copy of the data, not the original, hence the original remains intact & safe.
Also, you could always simply slip edit each song by trimming off the beginnings & ends of each song.
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