Why won’t my paint bucket tool work?

now i see that live paint bucket will work over any closed object correctly.

Check the Gap detection settings.

It's possible that the gap width you have selected there is too large.

How I learned to use the Live Paont Bucket tool.

Select the area youveant to color, make sure all lines are connected.

Go to Object > Expand Appearance > Object > Live Paint > Make

And you should be good to go.

Have you selected the paths that enclose the area you want to fill?

Peter