TC426 Mosfet drivers keeps blowing out
The TC426  FET driver ICs do not need a series gate resistor as they are designed for the capacitive loading of direct connection to a FET gate.

However, the TC426 data sheet also makes it very clear that unused driver inputs must be connected to VDD or GND and must not be allowed to float.

It looks like you are driving the TC426 inputs from another circuit board. If this lets the inputs float, it could well be why they are destroying themselves.

If you are driving these inputs from a microcontroller (MCU), for example, there will be a delay on start-up while the MCU goes through reset then configures the I/O pins as outputs. Before that, the I/O pins will be configured as inputs and be high impedance, leaving them floating.

I would add pull-down resistors to all inputs on this board to remove this problem. The TC426 input leakage current is +/- 1 uA and lets assume a generous 50 uA leakage from whatever driver you have on this. A 4K7 pull-down would put about 0.235 V on a TC426 input, well inside its 0..0.8 V range for logic low.