While listening to In Deep a few days ago, I figured out the part at the end of "Losing Hold." It just alternates between sets of two notes and cycles among four chords. While recording this, I realized that it actually has some resemblance to the chords in "Leave Me Be" (specifically C major to E minor) which makes some sense since "Losing Hold" is a White/Argent song.
I'm still not sure of the exact instrumentation, but I did the alternating notes and the chords on piano, the alternating notes on electric piano, and the chords on electric guitar.
This is pretty much just two and a half minutes of four chords. On the record, it fades out, but I resolved it on C major.