Python xpath gives repetitive output on different URL

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HTML

Python

XPath

webscraping

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I'm trying to scrap the names of universities and their links from this website **https://www.hec.gov.pk/english/universities/pages/recognised.aspx#k=**
What I want for my scrapper to do is scrape the names of university from the first page, click the next button, scrape from the next page and so on.
However, it scrapes data from the first page, clicks the next button and repeats the scraping on the first page on loop. I'm guessing the XPath is not following the next URL.



You can see in the output the University names repeat themselves from the first page

What I have tried:

import requests
    import lxml.html as lh
    import pandas as pd
    from webdriver_manager.chrome import ChromeDriverManager
    from selenium import webdriver
    import time
    
    driver = webdriver.Chrome(ChromeDriverManager().install())
  web=driver.get('https://www.hec.gov.pk/english/universities/pages/recognised.aspx#k=')
    i='1'
    col=[]
    time.sleep(5)
    for page in range(1,24):
            i=str(int(i)+1)
            button=driver.find_element_by_link_text(i)
            button.click()
            time.sleep(5)
            url=driver.current_url
            page=requests.get(url)
            doc=lh.fromstring(page.content)
            tr_elements = doc.xpath('//tr/td[5]')
            for t in tr_elements: 
                     name=t.text_content()
                     col.append(name)
            print(col)