It's all technically 'welded wire'...this link is correct.Your link is "welded wire" not hardware cloth, comes in several size spacing (1/2" x 1", 1x2", 2"x3" rectangular shape). What you have on the coop is "chicken wire", comes in 1" & 2" hexagon shape spaces.
"Hardware cloth" comes in 2 sizes (1/4" & 1/2" squares) https://www.homedepot.com/p/Everbil...Gauge-Steel-Hardware-Cloth-308226EB/205960849
@Aunt Angus beat me to the link![]()
This link is to 1/4".You want something more like this. Except with a thicker guage.
1/4" HC is usually 23ga
1/2" HC is usually 19ga.