If you had to do the push on the hood and pull the cable trick in the past that says something is out of alignment.
Getting to the hood latch pin isn’t an easy task as there is very limited space between the motor and the core support.
We can get back to that option if you need it but moving the latch with the hood shut is complex and very labor intensive of you have the right tools.
Try sitting on the hood while your wife pulls the release the only difference is this time she can’t let go of the cable until the hood comes open. You may need to pull up quite forcefully on the hood after she pulled the cable.
It would be helpful if you could pull on the cable to assure it’s still connected. One of the ways to pop the hood if the cable in the car is messed up is to get the cable through the grill wind port. But if it’s damaged that won’t work.