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As @rafalolbert wrote, fuzzy matching is practically its own industry. I always open up the help pages within Alteryx wile using the tool (right-click the fuzzy match tool and choose Open Example)
Your dataset may lend itself to a formula match instead of a fuzzy match, as it looks like Name can be found within Customer.
So the way I'd approach this is to Append all customers to each name (making sure to allow all appends), and then seeing if a cleaned up version of Customer is contained within Name. Let me know if this helps.