I made purees just using a handheld immersion blender. It was a heavy duty Kitchen Aid one too, I think I bought it at Target for $35. The bonus is that you can use it for SO many other things in the kitchen (soups, sauces, smoothies, etc), so it is more multi-purpose than a Brezza so we got a lot more value out of the purchase. My kiddo's been eating our table food since 10 months and I still use the immersion blender several times a week.
Keep in mind that even if you're starting with purees vs baby led weaning, your kiddo is only going to be eating strictly purees for a few months. You will need to keep bumping their textures up until they are eating table food. Every kid is different but at our daycare they expected the kids to be 100% table food by 10 months.
tl;dr - don't buy a single purpose appliance that you're only going to use for a couple of months