Was just about to mention that (MBA has SSD)...but you figured it out first!
Are you definitely sure the MBA's SSD is no good? You may be able to boot up from the Recovery Partition...run the Disk Utility app...and maybe get things going again.
Upgrade your MacBook Air hard drive to an SSD for 16x the capacity and 2.3x faster speeds than the original factory drive. Kit includes all tools needed.
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