serpentine belt to bypass A/C

I looked at your belt routing diagram, I do not believe a shorted belt would work? Just my opinion. You might try to find a bypass pulley, that way, you could use the same belt.

This guide should help

https://www.2carpros.com/diagrams/buick/rendezvous/2004

Let us know

What part of the compressor went out? The compressor itself or the drive pulley bearing? If it is the bearing, that can be changed out in less time than the trips to the parts store to get the shorter belt or the bypass.

If the image is the same as the belt routing on your vehicle a shorter belt would work but it might slip on the alternator. It would need to follow the orange path and you would need to measure it to find one to fit.