I do not have familiarity with that part in my machine, but i do work with those kinds of fittings all the time for work and I have a few observations.
1) the part you linked to says its 1/4" tube x 1/8" NPT, but the diagram lists all of the threaded connections as 1/4" and the tubing as 1/4". The best way to confirm this would be if you have calipers. measure the outside diameter of the tube (should be 1/4") then measure the outside diameter of the threads, if they are
NPT Threads they should be ~0.54" and tapered with 18 threads per inch. However, every espresso machine I've worked on (admittedly not that many) uses
BSPP/BSPT Threads, and 1/4" would be ~0.51" and 19 threads per inch. It is almost certainly BSPP based on the picture and what I can remember about the brewtus I'm pretty sure that elbow's threaded side is 1/4" BSPP. NPT and BSPT are tapered threads meaning if you look at the threads from the side they come together as they go away from the fitting, BSPP is parallel thread, meaning the two sides are straight relative to each other. Parallel threaded fittings almost always have an O-ring or gasket where the threads meet the base of the fitting as well, which can help to identify them.
2) The tubing side is what's called "Push-to-connect"/PTC/John Guest connection, the diagram shows a compression fitting, either one should work fine in this application, and I'd go for whatever part you can get readily.
3) The part you have in the listing is listed as being for air and water, and doesn't list what material it is made of, which since these are usually used for pneumatics, would likely mean it is made of leaded brass, and nickel coated. This would make it very not food/beverage safe, and I wouldnt put that thing anywhere near something going in my body.
You're best bet is to look something up on
McMaster-Carr, they are an industrial supply house that carries an absolutely mind boggling assortment of fittings in every size/shape/connection you can imagine, and is very easy to search and has some of the best search filters I've ever seen, including material, connections, fitting type. You can at least use them to narrow down exactly what you are looking for since almost all of there parts have CAD files, and dimensional drawings that you can use to verify the part you have. Here's a few that I think would be a better choice assuming it is actually 1/4" tube x 1/4" BSPP:
Stainless steel PTC swivel elbow, this one has "universal" threads meant to work with NPT, BSPP, NPTF, and BSPT so as long as you can confirm the size of the connection, you don't really need to know what the threads are. This one doesn't say its food rated, but all of the materials are food safe. Only for use with hard plastic tubing, which I am pretty sure the tubing inside our machines is.
Stainless Steel compression elbow, again not listed as food safe, but definitely all food safe materials, does't swivel, but very sturdy. Make sure to get the matching tube insert if used with soft tubing.
Best of luck!