The solution, based on your video, is to takeoff with proper power settings, flaps in the takeoff position, rudder trim in the green band, and retract the flaps after establishing the climb.
Nothing you’ve shown is particularly “out of control” - the TBM is a powerful light aircraft and it requires you to manage elevator and rudder during takeoff to prevent the roll you showed us.
Unrelated, it also appears from your video that the cabin is not pressurizing but the bleed air is on - meaning you may have a ruptured pressure vessel (you’d see this in the maintenance window). If you struck the tail on the ground at any point, that’d be the cause.
pim_tbm900__e1r2.pdf