Buy a for parts only console from eBay to get the replacement switch an use ifixit mako to swap the broke parts there is ifixit guides for system tear downs
What cpu and gpu do you have for some reason a lot of people have issues with windows 11 using to much cpu which with windows 10 no longer available a lot of systems will be obsolete because there computer won’t handle windows 11 specs
It’s probably a fully dead battery here the link to battery kit make sure it’s a first gen system the battery is only compatible with first gen 3ds xl Nintendo 3DS XL Battery