Lot's of people let broodies sit and raise chicks within the flock. Some have good success.
I only did this one time with my first broody hatch. She started out with 9 eggs which I had marked.
The main problem I had was the other hens in the flock keep getting in the nest box with the broody and adding eggs to her clutch. So I went out daily when she took her break to eat and removed all the newly added eggs. Thankfully, the hatching eggs were marked.
After a few days of this, I went out to do the routine. I found yolk on most of the eggs in her nest and 2 marked hatching eggs were missing. Evidently they were the broken ones. The commotion of the other hens laying more eggs in the nest caused the problem. She still had 7 left to hatch and they had yolk on them. I didn't want to move her at this point. I clean up the nest box and put those back. She came back in and went right back to sit.
Later I had another broken one. Clean up again. I was really worried about bacteria growing because of the yolk mess.
In the end, she hatched 4. 1 female and 3 male.
I was too "chicken"

to try it again. So we added a broody box/run area for the next broody.
Next time I had broodies, I had 3 go all at once!

Juggling chickens.
This may not happen to you.