There are several reasons colostrum is important to a newborn: it is nutrition dense, it is a laxative which helps the gut empty itself of meconium, and most importantly, it provides widespread immunity to bacteria and viruses in that animal's environment.
There's no need to feed colostrum to your puppy for a very basic reason: the absorption of colostrum is time sensitive, and for puppies, the antibodies in colostrum are only absorbed for the first 12 hours of life.
The intestinal barrier of puppies and kittens is immature at birth. In particular, the tight junctions between enterocytes are not well developed and macromolecules such as immunoglobulins can pass through the intestinal epithelium within the first 12–16 h of life. The loss of absorption efficiency is faster in puppies (12 h) than in kittens where it happens approximately at 16 h of life.
There are other methods the gut has that help acquire the immunoglobins in colostrum, but that ends at 24 hours.
If you don't know the exact hour of birth of your puppy, it's possible the pup had an opportunity to suckle from it's mother during the first few hours of birth. If so, that's great, and at this point, it won't benefit from colostrum immunologically. If you can give the puppy nuitritionally dense formula, that will help it. I haven't looked at your source, but it sounds like it meets the criteria.
Finally, the source of colostrum is a consideration: the environment of a cow is different from a dog's, unless they are both barn animals, so dog colostrum is better for a puppy (there's enough overlap, however, to provide immunity to many common bacteria and viruses.) How the colostrum is obtained is far more important; the mother must not have had repeated bouts of mastitis, the udders/teats must be meticulously cleaned before milking and the first squirt or two must be discarded. The colostrum should be stored in a sterile (or nearly sterile) container, and refrigerated/frozen until delivered. Otherwise it will need to be pasteurized, which destroys the antibodies. (In other words, you need to know the source of your colostrum and how meticulous that 'farmer' is. Unless you know the source personally, or the vet does, it should not be assumed to be non-infectious.)
So at this point, I don't think the puppy would benefit from the addition of colustrum to its diet.
I had a farmette which included milk goats, and goat colostrum is in demand by wildlife rehabilitators, e.g. for fawns and really almost any mammals. It must be taken extremely carefully and handled much more quickly than milk if it's for rehab purposes. For baby goats, they just suckle; fresh colostrum is sterile colostrum.
Nutritional and Functional Properties of Colostrum in Puppies and Kittens