I don't believe reading books that don't interest you is giving up. The only time I will push myself to read a book I'm not enjoying is when I have decided that specific book has value in my reading it.

If you are trying to respark your joy in reading, I recommend reading books that you enjoy. I had a goal last year of reading outside of my comfort zone, I pushed myself to read a couple of books early in the year but after slogging through a couple of horrible books I joyfully DNF'd other books and just looked for another book to fill that slot in my challenge.