What scientific or technological
advancement would the Catholic Church be ok
with? Why?

The advancements that do not challenge the information in the bible.

Explanation:

Throughout history, Catholic church generally wouldn't take the opposing position for scientific/technological development as long as it did not stray away from their bible.

For example, during the industrial revolution, a lot of inventions that can accelerate the production process was created. The catholic church never known to take a stance to prevent the industrial revolution from happening.

One of example where the Catholic Church took a stance against the scientific advancement would be when Galileo popularized a theory that The Sun is the center of Universe.  This was opposed by the Catholic Churches who believed that Earth was created by God as the center of universe.

for many centuries there were important factors which the economies of the muslim empires developed increasingly. they applied economic procedures in production, investment, finance, taxation and property. they used to tax certain goods (for example: harvest), they charged interest on money lent, they signed contracts with merchants; they relied on a common currency, and they used checks as well as promissory notes. with the money collected by means of taxation, the government provided the needy with an income. in addition, trading networks covered huge distances, so far regions started to have contact and exchange goods. this trade network covered areas of asia, africa and europe.

i think it's the cabinet