A bike tool from a website like Temu sounds like you are buying new cranks and new tools in addition to the Temu stuff. I don't have time or money for that so I would buy more quality tools from known quantities and qualities. The problem with cheap tools is they aren't low cost, they are expensive they are just cheaply made, cheaply put together and feel cheap in the hand all while potentially damaging your bike or whatever you are using the tool on.

It is one thing to run into a Home Despot to buy a tool out of pure desperation because you have an emergency and things are real bad it is another to go online to a place where you can get quality stuff from the tool makers or from legitimate bike shops with the same ease and choose to buy unknown stuff from a random website that doesn't specialize in anything but low initial cost items. Don't fall down that trap, get the right tools or go to your local shop that has the tools and let them take care of it.

If your shop doesn't have the tools to sell, that sucks I own a shop now and cannot stock everything I want and it is tough (but I do have a bunch of tools, a tool wall is important) , if they don't have the tools to work on it then yes find a new shop. However it should be noted most shops would order you something if you need it.