is there an IKEA near you ?
https://www.ikea.com/us/en/p/ikea-365-pot-with-lid-stainless-steel-glass-70256752/
top pot in pic 3,2 qt too small ?
https://www.ikea.com/us/en/p/ikea-365-pot-with-lid-stainless-steel-glass-10256750/
5.3 qt still too small ?
https://www.ikea.com/us/en/p/ikea-365-stock-pot-with-lid-stainless-steel-glass-50256748/
10 Qt
IKEA has some very decent affordable kitchen items
remember : you are more or less boiling water.
however would be a good idea to see these first if you can
base thickness is what's important , not so much the sides
IMHO