Go to this web site for information about how to request battery service for your iPhone: Apple Service and Repair for iPhone Battery - Apple Support
For cost and availability, enter your model information in the "Get an estimate" box at the bottom. (It is best that you do this since sometimes contributors here forget this is an international forum and not everybody asking questions lives in the contributor’s country.)
For instructions on how to get your iPhone, iPad, or iPod touch ready for service click here --> Prepare your iPhone or iPad for a service appointment - Apple Support
Since you want special consideration you should contact Apple and discuss this with them. Install the mobile Apple Support app and contact Apple using that. You can then optionally allow Apple technicians to have direct access to diagnostic data from your device. Alternatively, take or send it in for diagnosis:
Go to this page to find your nearest Apple Authorized Service Provider (AASP) or Apple Authorized Distributor (AAD) --> https://locate.apple.com/country
How to make a Genius Bar appointment
1. Go to Genius Bar Reservation and Apple Support Options - Apple
2. Go to "Get hardware help".
3. Select your hardware and continue selecting options requiring replacing parts until you see "Bring in for Repair"
4. Sign in with your Apple Account
This support page has information about contacting Apple support and service ➔ Contact Apple Support - Apple Support If live support options (chat and/or telephone) are available they will show near the bottom left.
- Telephone numbers may only work when calling from the same country.
- Chat options (telephone numbers appear as active links, not plain text) may depend upon cellular connectivity. If a number shows as an active link, click on it to see additional options.
- If chat is not available on the top level support page, try selecting your hardware and narrow down your issue to see if a support article offers a support link offering chat. For example, the contact support link on this page Check your Apple Account balance - Apple Support offers a chat link about emptying account balance even on a computer where the top level page does not offer any chat.