No, using different IP addresses does not get your account banned.
Breakcold connects based on your location (e.g., if you're in Texas, it's using a Texas IP).
LinkedIn doesn’t mind different IPs, especially if you travel or work remotely.
The real issue is using multiple LinkedIn tools at the same time, which makes your activity look unnatural.
💡 If you're still concerned, you can use custom proxies (see Breakcold’s proxy tutorial here).