If the tooth is loose enough you should be able to reach in and use your fingers to easily pull it out within a few seconds of wiggling it back and forth.
If you wiggle the tooth back and forth and it's still hard to pull then the tooth is not loose enough.
If the tooth is loose enough it should gradually continue to loosen up and then it should fall out soon.
You should be able to easily move the tooth back and forth in both directions without much resistance.
Don't try to force the tooth out of the socket because it could lead to gum damage or more bleeding.
I've pulled my own teeth out when they were coming out as a kid and I've pulled my own kids loose teeth out when they become loose enough but it takes time.
You don't have to pull the loose tooth out though as it will eventually fall out.