A spindle that holds a 3mm cutter, cutting in brass and steel, would probably need two angular contact bearings at the end of the spindle nearest the cutter. Even if the bearings are high quality, you need two, preferably angular contact. Usually this style of spindle is intended for routers cutting wood ( lower forces and faster RPMs)
Ask the vendor what are the part numbers of all bearings and where are they installed.
I bought a spindle for manual milling from china and they provided an engineering drawing on the website.(https://www.aliexpress.com/item/ER16...27424c4d91UMpx)
Also do some feed and speed calculations, 8000RPM may be too fast for your cutter and materials.