Break out of nested loops

[deanhystad]

I would refactor like this:

import requests
from bs4 import BeautifulSoup  # Or could import bs4 as bs

HEADERS = {
    'User-Agent': 'Mozilla/5.0 (Windows NT 10.0; Win64; x64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/93.0.4577.63 Safari/537.36',
    'Accept': 'text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.9',
    'Accept-Language': 'en-US,en;q=0.9',
    'Referer': 'https://google.com',
    'DNT': '1',
}
BASE_URL = 'https://quotes.toscrape.com/page/{}/'
 
def find_tag(tag, url, headers):
    '''Iterator to get text for matching tags from url'''
    base_session = requests.Session()
    page = 1
    while True:
        page_session = base_session.get(url.format(page), headers=headers)  # Does not need to have own function
        if page_session.status_code != 200:
            continue  # avoid walking code off the page with multiple levels of indentation

        soup = BeautifulSoup(page_session.text, 'lxml')  # Avoid embedding package version info in code.
        for name in soup.select(tag):
            yield name.text 
 
        if not(soup.select('li.next')):
            break   # Found last page.  All done

        page += 1
 
authors = [author for author in find_tag('.author', BASE_URL, HEADERS)]
for author in sorted(set(authors)):
    print(author)

I don't have beautiful soup or requests installed, so this is completely untested. It may also miss important steps and this may not be the right way to extract tags. I just refactored your code.