Breakdown your favorite songs by chord on a keyboard until the relationship between chords and moods clicks, then you can recreate feelings rather than duplicate the mere sounds

The secret is getting bored with it while copying so it turns into something different.

Deliberately copy snippets of a work you’re interested in as a study – e.g. transcribe it – and experiment with elements you find interesting (rhythm, chords, synths, effects, whatever) in small test pieces to make sure you understand what’s going on. Let the ideas stew for a while and then much later try to use the techniques you learned in a real piece.

That’s what I do anyway.

To really copy a song takes a lot of patience and work, perhaps more than composing something original. Unless you were blatantly ripping something off, it’s unlikely that you are going to “copy” it, so don’t worry about it too much. Your favourite composer was influenced by some other music that they emulate aspects of without copying. Genres exist and songs within them sound similar, without copying each other.

To answer your question, my solution is to listen actively and take notes. It’s one thing to hear something and like it, but another to be able to describe why you like it. Listen, close your eyes, open them to write an observation, repeat. Now you have a handful of ideas that you can re-interpret in your own way.

Also put the inspiration song in your DAW and use it as a reference as you compose. It will help you notice things like arrangement, instrumentation, and give you a target to work towards.

When I’m writing, if I just listen to the songs I want to take inspiration from the day before a few times (properly listen, with intent) the main ideas/vibe of the songs are far more present in my writing then usual

I think that’s a very difficult question to answer. But if you want to be as close to foolproof as you can, consider researching prior cases, such as that of Vanilla Ice and Ed Sheeran.