2010 Prius with Original Battery Sitting Idle (in hot sun) for 6 months?

My cat was stolen. Insurance only pays for the repair. The repair part is 6-9 months on back-order. If I keep the car at the shop (if they let me) or at my house (likely on the street with a sign that says "cat already stolen") will the hybrid battery (original 12 year-old) even survive that? The car has 70,000 miles on it, has been driven at least 3- 4 times a week, and taken care of well. I live in Houston, so we have long hot summers.

I don't intend to keep it either way (I will be buying a replacement), because I can't go that long without a car. I just want to know what to expect will happen.

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