That might do something
Sticking axp288c into
https://octopart.com/
https://www.eem.com/search/axp288c/distributor
https://www.findchips.com/search/axp288c
https://www.alldatasheet.com/datasheet-pdf/pdf/1132504/XPOWER/AXP288C.html
https://www.datasheet4u.com/datasheet-pdf/X-Powers/AXP288C/pdf.php?id=1353424
and plain old search (in my case on duckduckgo) spits out a datasheet eventually
Datasheet then (attached in PDF form) has a standard application diagram which could be useful -- most datasheets will give the basic form of a circuit it expects to be used in, now you will eventually encounter someone that did something differently but start with the suggested one.
The little white triangle usually indicates pin 1 and it looks like a small hole next to it as well (slightly red in that picture but you can see in real life more easily).
View attachment 251990
That looks like pin 9 which would be LX4
View attachment 252000
That then goes to a 1uH inductor which also has a 22 uF 6.3V capacitor (the smaller brown things are usually that) and then onto "BUCK4" which is probably a buck regulator (certainly is in the diagram). A power surge taking out an inductor is common enough.
https://www.electronics-notes.com/a...-step-down-buck-regulator-dc-dc-converter.php if you are unfamiliar with those.
Bonus here is the ideal diagrams see most other LX pins going to same rated inductors, and a sanity check says 8 of them in that diagram and 8 things there on that picture says probably is what it is.
You can then source a 1micro Henry inductor if you like and try replacing it (might even be able to steal one from elsewhere on the board if elsewhere does something less interesting as a quick test). However I will return to not knowing what caused it to go pop in the first place (could be a power surge externally, cheap charger, something internal, bad component, bad design in the first place, damage on the board/charge port, battery going pop), nor what other damage might have been done as it did -- think a slightly more advanced version of replacing a fuse while you still have a short. That said it is a common component and should not cost really anything so play it as you will.