Guide to diagnose/repair charging circuit of X1 Carbon 5th Gen

I'm having trouble with my X1 Carbon 5th Gen laptop. I believe the charger cable may have short-circuited, as it caused the computer to turn off.

I replaced the charger with a new one, but now the laptop exhibits the following behavior:

• The LED in the power button blinks, but the laptop doesn't turn on.
• The battery doesn't seem to be charging, even after leaving it plugged in for a while.
• I inspected the motherboard there is no trace of burnt capacitor or chip.

I'm hoping someone here can help me diagnose the problem and suggest potential solutions.