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If it doesn't work at all, contact your local Xperia Care and request a vacuum test
If you are using a protective case and/or film, remove them and dry the screen, does it work? if it doesn't then follow the above steps.
Is the screen cracked or did you firmly closed all the flaps?
open all the flaps > remove the SIM and SD cards > get a bowl with rice > leave it in for one or two days, make sure to turn off the phone