Batteries can be an issue like this and they certainly can leak over time. It's unusual for a battery to leak while it's still got power as most of the time they degrade if they are left in situ for too long once they've expired. However it can happen at any time, so I think you've just been very unlucky.
The issue you have with getting a financial discount/assistance from Breitling if it's outside of warranty is two-fold. Firstly, it's outside of warranty. Breitling are well within their rights not to do any work free of charge. It's a pain, I know, but that's why warranties have a finite end-date.
The second reason is that the battery isn't made by Breitling, so a battery failure is not a failure of Breitling's doing. You can certainly ask if they'd be prepared to do anything for you on the price, but I don't rate your chances.
Hope it all works out for you.
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