Subconscious Stealing

I feel like sometimes I hear something, any piece of music, and it just sticks with me. All the down to the point where when I'm writing music, I accidentally put a motif or two in. Then I tend to scrap the entire piece, or at least some parts of it because I feel like I'm not being original enough.
Which is stupid. All music has restraints, namely the notes available, and the various combinations of, said notes, to create music, or garbage. There are a lot of combinations, but the number of possible music combinations is still finite, so eventually we, as humans, will run out of unique music to play. Then what? Well, we've already had some pieces having copies of other melodies. The oldest example is probably, 'Ah! Vous dirai-je maman', a French children's song from the mid- to late- 1700's. You may recognize the melody from popular English children's songs like, 'Twinkle, Twinkle, Little Star', 'Baa, Baa, Black Sheep', and, 'The Alphabet Song'. Yes, technically all three of these songs are, 'copying' the melody of, 'Ah! Vous dirai-je maman', but by the same logic, so are Liszt, Mozart, Haydn, and Bach; some of the most well-known classical composers.
I haven't even gotten to the 4-chord progression yet. It's kind of a joke by now in the music community that all pop songs can be played using only four chords. Well, that is, in the key of everything but C major, because unless you're just starting to learn music, or you just like the colour of C major, professional musicians usually (with some exceptions) do not use C major. Probably because everyone's already learned songs in school that were in C major, and got tired of it. You can't please everyone. Anyway, despite my tendency to go on tangents, I must stay on track. The four chords in the 4-chord progression can be switched up any which way, but is most commonly seen like this: I-V-vi-IV. Here are some examples of the 4-chord progression: [Song - Artist (Year, Key)]

• Forever Young - Alphaville (1984, C major)
• Take On Me - A-ha (1984, A major)
• We Didn't Start the Fire - Billy Joel (1989, G major)
• Con te partirò - Francesco Sartori, Lucio Quarantotto (1995, G major)
• Wannabe - Spice Girls (1996, B major)
• Amazing - Alex Lloyd (2001, A major)
• Caramelldansen - Caramell (2001, F# major)
• The Scientist - Coldplay (2002, D minor)
• Dragostea Din Tei - O-Zone (2003, A minor)
• Hej Hej Monika - Nic & the Family (2004, D♭ major)
• Kids - MGMT (2008, F# minor)
• Pork & Beans - Weezer (2008, F# major)
• Paparazzi - Lady Gaga (2009, F minor)
• Grenade - Bruno Mars (2010, D minor)
• Love the Way You Lie - Eminem, Rihanna (2010, G minor)
• Demons - Imagine Dragons (2012, E♭ major)
• When Can I See You Again? - Owl City (2012, D major)
• Bad Blood - Taylor Swift (2014, E minor)
• Immortals - Fall Out Boys (2014, F# minor)
• Faded - Alan Walker (2015, D# minor)
• Don't Let Me Down - The Chainsmokers (2016, G# minor)
• Say You Won't Let Go - James Arthur (2016, B♭ major)
• Despacito - Luis Fonsi (2017, B minor)
• Perfect - Ed Sheeran (2017, A♭ major)
• Aristocrat - Poppy (2018, B minor)
• Girls Like You - Maroon 5 (2018, C major)
• Music Theory - Charles Omödter (2018, C major)