Yes, They do a quick diagnosis for free, but they will often say it's more to fix than it's "worth", Don't blame them, Apple has them under strict contracts to say such things. They are very customer friendly and straight forward, and I will recommend this place over other apple ASP's, since they actually have a grip of what they are doing.
Thank you, your computer has lasted our mom many years so far.
Bench diags are always free, and in most cases we can provide a repair estimate from that, or resolve the issue as well in many cases.
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