I'm all for automation but you need to point out that the automation will cost something forever more. It might still be more efficient to automate but automation isn't without cost; it's not a nirvana.
Depending on your system, the benefit of automation is not always worth the cost. Highly coupled systems (e.g. UI to dB entities) are expensive to test anything beyond the simplest atomic level. Do try to get clearance from whoever is paying for your code because they may prefer the human method as the business value of test automation is low.
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