This song by The Carpenters is in A.
These are the “cheat” chords I played…
Part 1a: A - E/G# - F#m7 - C#m7
Part 1b: D - Bm7 - C#m7 - F#
Part 1c(i): Bm7 - Dm - E7
Part 1c(ii): Bm7 - E7 - A - D/A
Part 2a: D - A
Part 2b: Bm7 - E7 - A
Part 2c: [...]



