Will insurance (healthfirst) cover crowns for two front teeth or should I just get veneers on the 6 front top teeth? (Photos)

Hi, I went to my dentist to fix a chip in my tooth, he ended up chipping another tooth and I didn’t realize until I got homeI’ve been considering of going to see another dentist to get it fixed but also been thinking about inquiring about veneers. My two front teeth continuously chip and my dentist recently had to file them down even more... He ended up chipping a perfectly fine tooth and it now looks uneven.