For an unsupported piece of glass that large, 1/4" is not very strong.
I have some 34"x57" pieces of 1/2" laminated safety glass that are composed of 1/4" sheets with a layer of plastic in the middle I'm saving for a job.
Trust me, they are very heavy, as is a sliding patio door.
If you need to get out of the house thru that window, in case of a fire, you will need a simple tool.
It called a BRICK.
The bigger the better.
A matter of seconds may mean the difference between life and death.
If this project is for sound deadening only, consider smaller unsupported panels, as well as considering some type of plastic rather than glass.
Lew