"A Cracked Screen After Just One Month — No Impact, No Warranty Coverage: My computer was only one month old when its screen cracked, despite never having been dropped or subjected to any impact. However, in Türkiye, this issue was considered outside the warranty coverage, and I had to pay almost as much for the screen replacement as I would for a brand-new computer."
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As for Getting the Data Back...
Plug in an external monitor, and then create a Time Machine Backup. Then, using Migration Assistant, move what you can to a different Mac. There are lots of other ways to perform the transfer, and a crossover cable might just do the job. For your Mac model, just this: USB-C Digital AV Multiport Adapter - Apple. You'll have a female USC-C port for the charger; HDMI for port the monitor; and a USB-A port for an accessory.