The water/tea causes corrosion and provides circuit paths for the electricity which were not in the console’s operating design and could damage the components. The corrosion starts immediately and doesn’t stop until it has been properly cleaned away.
Do not try to charge or to turn on the console and then remove the battery as soon as possible so as to minimize any further problems.
Next you need to disassemble the rest of the console and clean all the affected parts using Isopropyl Alcohol 99%+ (available at electronics parts stores) to remove all traces of corrosion. Do not use "rubbing alcohol" as in some cases this is only 70% IPA or less, can contain additives and is not as effective. If you do have to use it, check the label to verify the amount of IPA. The higher the concentration (%) of IPA the better
Here is a link that describes the process. Electronics Water Damage
As always with electronics, especially surface mounted pcb, be gentle when handling and especially when brushing away the corrosion. You do not want to remove any components from the board. Also remove any shields that may be covering some components and clean there as the water may have got in under them as well. The ends of any cables and the connectors need to be cleaned as well.
Hopefully after you have done all this the console might possibly work correctly again.
Here is a link to the ifixit Nintendo Switch Lite Repair teardown guide. This will help you to open the device and inspect and clean as required
If this process seems too daunting, I suggest that take your console to a reputable, professional electronics repair service, experienced in liquid damage repair and ask for a quote for a repair. If you decide to do this, do it sooner than later. It isn’t going to fix itself.