彈出窗口/模式/對話框窗口數據抓取

您可以將requests.session用于任務：

import re
import requests
from bs4 import BeautifulSoup

base_url = 'https://tenders.procurement.gov.ge/public/?lang=en'
url = 'https://tenders.procurement.gov.ge/public/library/controller.php?action=org_list'
profile_url = 'https://tenders.procurement.gov.ge/public/library/controller.php?action=profile&org_id='
num = re.compile(r'(\d+)')

with requests.session() as s:
    
    # load cookies:
    s.get(base_url)
    
    soup = BeautifulSoup(s.get(url).content, 'html.parser')
    
    for tr in soup.select('tr[onclick]'):
        n = num.search(tr['onclick']).group(1)
        soup2 = BeautifulSoup(s.get(profile_url + n).content, 'html.parser')
        email = soup2.select_one('td:contains("E-Mail") + td')
        print(email.text)

Prints:

xxx@yandex.ru
xxx@gmail.com
xxx@gmail.com

...and so on.