Hello. Since the cover sounds muted and dirty if I just play along the song and record it, I'm thinking about recording the video of me playing the guitar in which there would be only the sound of guitar, and then later add a song over the video to make it complete. Is that possible and if yes, how? Tnx
Maybe you can use this?

You'll have to sync tempos, etc. so it is better to have the underlying cover that you record over. There are some midi tracks and backing tracks for covers available online, on this one you can drop and add instruments.