Which you can’t, because there is no password at this point. So either you admit that you just wiped your computer with the panic password, or you can shut up and rot in jail until you die.
You need a way to make them believe you. Covertly wiping your computer is probably not going to end well.
Real law enforcement agencies would also simply confiscate the device and hand it to a forensic team to pull a "golden image" from it to work with in lieu of a user session.
In a number of countries there is a defined offense, like in Australia if they don't believe you they can jail you for six months under the Cybercrime Act, 2001, or possibly 2 years (failure to obey a court order under the Crimes Act, 1914).
https://nakedsecurity.sophos.com/2016/04/28/suspect-who-wont...