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I had a rear end hit also looked very similar to your, except it pushed me into the car in front so I had front end damage also... TOTALED by insurance company. Had they not totaled it the repair center said 4 to 5 months for repair.
Had my car been repairable, the Tesla Authorized repair center said 4 to 5 months. How do you do without a car for 4 to 5 months. Insurance only pays for 30 days. I am thrilled they totaled it!
I had similar thing happen to me. Un-insured motorist plowed into my Model 3. Repair center advised me 4 to 5 months. Fortunately The $49,775.75 estimate made for a TOTAL LOSS. I can happily say I already have my 2019 replacement model 3