Error using ScraperAPI With Python Selenium

Question

I can't figure out where the error is in this code. Basically it inserts a code in the search bar, clicks a button and extracts the results:

from seleniumwire import webdriver
import time

API_KEY = 'my_api_key'

proxy_options = {
    'proxy': {
        'https': f'http://scraperapi:{API_KEY}@proxy-server.scraperapi.com:8001',
        'no_proxy': 'localhost,127.0.0.1'
    }
}

url =  'https://www.ufficiocamerale.it/'

vats = ['06655971007', '05779661007', '08526440154']

for vat in vats:

    driver = webdriver.Chrome(seleniumwire_options=proxy_options)
    driver.get(url)

    time.sleep(5)

    item = driver.find_element_by_xpath('//form[@id="formRicercaAzienda"]//input[@id="search_input"]')
    item.send_keys(vat)

    time.sleep(1)

    button = driver.find_element_by_xpath('//form[@id="formRicercaAzienda"]//p//button[@type="submit"]')
    button.click()

    time.sleep(5)

    all_items = driver.find_elements_by_xpath('//ul[@id="first-group"]/li')
    for item in all_items:
        if '@' in item.text:
            print(item.text.split(' ')[1])

driver.close()

Running the script (chromedriver.exe is saved in the same folder and I'm working in Jupyter Notebook, if it matters) I get

NoSuchElementException: Message: no such element: Unable to locate element: {"method":"xpath","selector":"//form[@id="formRicercaAzienda"]//input[@id="search_input"]"}

but this element exists, because trying the script without ScraperAPI I get no errors. Can anyone figure out what the problem is?