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Wow, I just noticed! I took a deep dive into your chord progression and stumbled upon something that might have been intentional or not:
Your progression strongly resembles the 'Descending Thirds Sequence' or 'D3(-4/+2)'!

Your first chords (C-E7-F7-e7-F-e-F-G7) strongly resembles that of the D3 (C-G-a-e-F-C-d-G7).
Most chords either agree or almost agree. For example, "E7" is the same as "G", except for an added note 'E'; "F7" is the same as "a" except for an added note 'F', etc. I thought I heard the smooth progression in your song, but I couldn't figure it out until I dove into your progression.

The last chords are intriguing as well. The chords (G7-a7-e-F7-f6-G-Bdim-C) can be divided into two parts: The part (G-a-e-F) again fits straight into the D3 progression shown above, and is thus composed of a step up ("G-a" and "e-F") and a fourth down ("a-e"). Normally, when you end on a "G7", it leads back to the "CM", but you go into a little deceptive cadence by going to "a7" instead (which still contains the full "CM" chord because it's a seventh chord)!
The last part, (f6-G-Bdim-C) is actually a simple (ii-V-I) progression, the classical authentic cadence! Namely, a "f6" is simply a "d" chord, or the "ii" (second) chord of the scale. You add a little "vii˚" chord in there, the Bdim, for flavor, but it functions identically to the "G" chord before.

So, in essence, you sprinkle a ton of variations of the beautiful 'Descending Thirds Sequence' in your song, giving that lovely vibe, and finish off with an authentic cadence. No wonder the chords sounded so beautiful :). Really, nicely done! It was fun to dissect your chord progression, thanks again for sharing it :D