> we really should have built new cheaper and safer reactors
Newer designs are not cheaper. In fact, in spite of herculean efforts on the part of the industry, they're generally more expensive.
There are basically three "newer" designs that are actually available on the market, the EPR, AP1000 and ABWR. Other designs like the APWR, ACR-1000 and similar are dead, while others like the VVER are unlikely to be sold outside Russian client states, who get them basically for free.
Here's a current report on all of the ones that are still standing:
EPR, four under construction, one approved for short-term:
Olkiluoto's EPR is currently billed at E8.5 billion, about three times the original estimate. Construction is halted.
Flamanville's EPR has gone even higher.
Taishan's EPR's are both at least two years behind schedule (they were supposed to be on the grid last year, now they're scheduled for next year). I don't know what that does on the cost side in China.
Hinkley Point C is, well, no one really knows what's going on any more
AP1000, four under construction in China, four in the US, several others approved:
Summer's two AP1000s are both delayed at least 18 months, leading to a credit rating drop for the companies involved.
Vogtle's two AP1000 reactors are already billions over budget, and have just announced another series of delays. Delays cost $2 million a day.
Sanmen and Haiyang are both at least a year behind schedule. Haiyang 1 was last updated to begin operation in May,
Levy County's two AP1000 last accounting put it over $11 a Watt, at which point Duke gave up and kept everyone's money.
That's not to say this is universal, nor the fault of the designs. Spiralling material costs account for much of this. But having your costs controlled by time of construction on one hand and materials costs on the other is a bad place to be, they often conflict. If you want to get the materials cheaper you have to wait, which drives up soft costs, if you try to get it quicker to help there you drive up materials costs. And when interest rates are at historical lows and materials costs are skyrocketing, these sorts of things are going to happen.