Hitch Mounted Bike Racks—help please!

Hi All, the situation I desperately need guidance with is thus:
I had a 2010 Prius for about a decade, alas she suffered a fatal head gasket issue after 200k+ miles and I had to say goodbye to my lovely silver lady. I am look at purchasing a 2015 Prius C1. The issue is I have Swagman Chinook 2 Bike Platform Rack 64683 that I had just purchased and used before my silver lady died-she came with a 1-1/4” U-Haul hitch. Bike racks being expensive I really don’t want to have to purchase a new one. I’d rather just have the appropriate hitch installed on the 2015 Prius C and go on my merry way. However, in researching this issue I’ve seen a lot of contradictory things about whether it’s safe to have “tow” a bike rack with the Prius C or not due weight/stress on the vehicle. I’ve seen some post on Prius Chat that make me think it would be fine, but only 1 that mentions the brand of rack that I have-though a different model from 11 years ago. That post mentions using a curt hitch installed on the vehicle.
Help please-would it be okay to have an after market hitch installed on the vehicle for the purpose of just carrying bikes or will it make it unsafe to drive/compromise it?
For reference:
The rack according to the internet weighs about 47lbs. The 2 bikes I hauled around combine weight is approximately 35lbs ( rounding up).

Just as an added twist, I also found a 2018 Prius 2 for sale. It has higher mileage the 2015 Prius C1 that I’m interested in. They both have clean service records and titles, and are close in price. I know the 2018, would be able to handle the rack without issue. I like the 2015 Prius C1 better for a few reasons, mostly cosmetic and lower miles. The 2018 Prius has the newer hybrid battery and can carry the bikes, but I dislike some of the cosmetic aspects of the car. Thoughts on choosing? (I’ve been Prius shopping for weeks now…there are so many shady online listings through dealers and private sales alike and options to weigh that my brain hurts!)