I remember being a lab manager for my college mentor when I was fresh out of undergrad school. The hoops we had to jump through for the most inane purchases were so obscene that we usually just worked to find a way around it.
For example, we needed some electronic components. Oh but neither Digikey nor Newark are approved suppliers. They had looked into it before, but the school didn't buy enough from them for it to make sense. Oh but Allied Electrical and CDW are approved, see of you can use them. No, they don't sell the kind of crap we are always buying. So, you needed to show evidence of searching for each item at at least three approved sources to be approved to buy from an unapproved supplier, which usually amounted to printing internet search results. If there were a lot of components and it didn't coat that much, we would say screw it, buy it on our own dime and submit a reimbursement claim. Otherwise I would literally spend a whole day putting together the order and then wait a whole week for the office to process it.