Generally a fan of DIY projects and repairs.
If you have nothing to lose by trying the screen swap then may be worth a try. Especially if you have some skills and experience doing such things.
However many of todays' appliances are not designed for repairs per ser . Especially repairs by end-users.
Opening up the TV's may be problematic. Easy to break something while doing so.
Go online and see if you can find any applicable "repair" videos, schematics, etc..
Then compare the connections, fit, etc.. between the good screen and bad screen. If the good screen matches and physically fits (try before connecting) then look at the connectors and plugs. Hopefully all are identical, pin counts, wire colors, components.
If not identical the swap attempt may have unknown results when the TV is plugged in and/or turned on.
However, being only a month old there should be some warranty - correct? Try that first via the vendor/retailer and then the manufacturer.