Hello,
First of all thanks for choosing our Theme, we are glad to be you in WoodMart WordPress family :-)
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As you said that Alessi brand is displayed for all products. This is because you used “Alessi” attribute in your products. So if you want to display a different brand in a product then you must have to set that specific attribute from the product edit page.
If you want to edit the brand tab content. You need to go to Products >> Attributes >> Your brand attribute >> Configure Items.
Screenshot: https://jmp.sh/bsE9wXi
For in depth guidance follow the below documentation:
https://xtemos.com/docs/woodmart/faq-guides/how-to-setup-brands/
Best Regards.