Certified third-party iPhone battery replacement shops??

iPhone 14 Pro
The official service center replacement cost is about 160,000 KRW,
but for a 4-year-old phone, paying this much to replace it... ;;
For those who have used a certified third-party repair shop, how much cheaper is it on average??
When I asked AI, it just said it varies by shop
and told me to call them and ask. -_-+