Seen a few posts on here about European qualifications, to clarify, this is how it goes:
If City win the FA Cup:
Top 4 CL
5th and sixth Europa League
7th Conference League
If Rags win the FA Cup
Top 4 CL
5th Europa League
6th Conference League
FA Cup winners Europa League
If City win the FA Cup:
Top 4 CL
5th and sixth Europa League
7th Conference League
If Rags win the FA Cup
Top 4 CL
5th Europa League
6th Conference League
FA Cup winners Europa League