In statistics, the higher the number, the more likely a rare event will occur. It doesn't matter if the odds of life are low, the more opportunities, the more likely life will develop.
Our Sun will eventually become a white dwarf. It's too small to nova. After a few billion years, it'll become a red giant and smoke the Earth, but warming the gas giants where life could develop (or move to) their moons. Eventually the Sun will shrink to a white dwarf.
https://www.nasa.gov/image-feature/goddard/2019/why-the-sun-wont-become-a-black-hole
Before our sun becomes a white dwarf it will vaporize our oceans and incinerate our atmosphere. So we aren't going to be looking to white dwarfs as candidates for habitable systems.
NASA's estimate of 300 million systems with rocky planets that potentially could host life is only based on being located in the Goldilocks zone, and even the authors admitted this was a weakness of their paper since there are other criteria that make a planet habitable.
This is my thought experiment on other potentially neccessary criteria for a planet to possibly host life:
Probability liquid water exists - 50% (p50). Our system has two near-Earth sized rocky planets in the Goldilocks zone, only one of which has liquid water. So p50 seems like a reasonable guess.
Probability of a strong magnetic field - 33% (p33). Of three rocky planets in the Goldilocks zone of our system, only one has a strong magnetic field. So p33 seems like a reasonable guess.
Probability of permanent stable orbital mechanics - 50% (p50). In the absence of tangible information, an even chance seems like a reasonable guess.
Probability of large gas giant in outer system to clear out any frequent incoming asteroids of a lethal size - 50% (p50). In the absence of tangible information, an even chance seems like a reasonable guess
Probability abiogenesis will actually take place, even if all conditions are met: if we assume the emergence of cellular life for prebiotic materials is difficult to achieve and something of a fluke, assume probability of 1%. If we assume life readily emerges in the presence of liquid water, assume probability 50%.
Water = p50.
Magnetic field = p33
Stable orbital mechanics = p50
Gas giant clearing asteroids = p50.
Abiogenesis, low confidence = p1
Abiogenesis, high confidence = p50
High end estimate: 6.25 million planets in Milky Way host life.
Low end estimate: 125,000 planets in Milky Way host life.
Either way, that is less than 0.00001 percent of star systems in Milky Way that would host life.
And that is without further culling for the probability intelligent life would emerge on a planet that happens to have a biosphere.