Don’t be so sure. I hate to draw the comparison but raising a child in an artificial womb is probably at least as difficult as growing chicken wings in a sterile environment. A startup founder that wanted to grow meat pivoted to lab grown egg whites, in his words in order to grow a cube of solid meat any bigger than a centimeter cubed, you could not keep it sterile, it is too attractive of a growth medium. In the case of a chicken, it’s like the rest of the bird is needed to provide an immune system so the meat doesn’t spoil.

Mothers provide more than a growth vat to their children, not to mention the immunities passed on in breast milk.

To birth a child in a sterile vat, they would likely need to be kept in a bubble the rest of their lives too.

That's why we need to find a globular cluster with metal-rich planets, and take a generation ship over there.

Sure, a thousand generations will live and die along the way, but once we get over there, you've got stars every 0.1 ly or so, and with very plausible future tech, you could navigate between them in a few years. You could set up a proper starfaring, interplanetary civilization, with tradeships either going back and forth between two neighboring systems, or winding on long, never-repeating routes, visiting a dozen or so star systems in a human life.

(Most globular clusters appear to be old and metal-poor, and we haven't found a lot of planets there, and this only works if you find a globular cluster where ~every star can support a colony.)

Human lifespan is another important variable to work on not just for this reason.

And crucially ensuring that beam continues to run for billions of years. a few decades may pass for you, but not for the laser that's pushing you

First, what “many objects along the way”? There are basically none. To do this requires many detours that significantly increase the distance you’re having to travel.

Second, the faster you’re going, the less useful a gravitational slingshot is because you spend less time in the object’s gravity well.

It’s a fun and useful trick within our solar system, but I don’t think the physics plays out well for interstellar travel.

Slingshots require very specific conditions and configurations of orbiting bodies that won't really work in deep space - all the Kuiper Belt/Oort Cloud bodiees are far too small and too far away to be usable.

But assume for example that you don't care about how long it is going to take (you are an immortal cyborg, an upload living in the computer or a popsicle in hibernation & the AI is driving. Then you can just "island hop" between Kuiper Belt/Oort Cloud objects, never gaining any high % of the speed of light but always having the next body in your sights, not farther than a few decades or a couple hundred years of flight at most.

You reach the body, refuel, repair, maybe upgrade and then off you go, to the next one. And eventually, you might be at you destination, with a fully fueled and repaired ship. It might just take like 20000 years for start to finish, but hey, you can use it for something productive like learning to play Go or something. :)