You may have to see if you can get a replacement battery, and if you can
see how they are removed and replaced; should there be this information
in a repair guide and since your iPhone is out of warranty, consider if it is
worth the cost to try a repair yourself. Or a qualified private repair agency.
•iPhone repair guides from iFixit.com:
https://www.ifixit.com/Device/iPhone
However, a phone that has been tampered with may not be considered
when or if presented for official Apple support or exchange toward a
replacement phone should that option be available & exercised...
So the price you don't pay IF you could replace the battery, may be OK
for the moment. Yet any other opportunity to use that iPhone as a core
toward a replacement would likely be void.
Some tiny businesses in shopping malls exist that offer to replace iPhone
and iPod Touch screens, batteries and other parts. They have no direct
affiliation with Apple, and there is no guarantee they'd use authentic parts.
While the warranty has expired, there are other opportunities that may be
investigated before you choose from any additional options available...
There are other authorized service providers, independent agents, who may
repair or otherwise offer iPhone service in countries where Apple has no store.
In either outcome, the bad battery should be removed and probably sooner
than later, with other damages likely more costly than just a battery + labor.
Good luck in any event...! 🙂