Selecting Dynamic Element in Drop Down Menu, Selenium Python

I am trying to select an input box in a drop down menu. The input box itself, however, appears to be dynamic. I've looked through similar posts, but they seem to be issue specific. I've had this problem a few times now with dynamic elements, and I'm hoping to understand a general approach to working with dynamic elements.

Here are the details of the element I seek to select:

<input class="lui-search__input ng-pristine ng-valid ng-empty ng-valid-maxlength ng-touched" maxlength="5000" q-placeholder="Object.Listbox.Search" ng-model="query" ng-disabled="disabled" autocomplete="" spellcheck="false" ng-trim="false" type="text" qva-blur="blurred()" qva-focus="autoFocus" qv-escape="escape($event)" qv-enter="enter($event)" placeholder="Search in listbox" aria-invalid="false" xpath="1">

(if this isn't helpful information, please let me know and I will update).

The relative xpath changes:

//body/div[8]/div[1]/div[1]/div[1]/ng-transclude[1]/div[1]/div[3]/div[1]/article[1]/div[1]/div[1]/div[1]/div[1]/div[1]/div[1]/input[1]

in one instance

Another instance of the relative xpath:

//body/div[7]/div[1]/div[1]/div[1]/ng-transclude[1]/div[1]/div[3]/div[1]/article[1]/div[1]/div[1]/div[1]/div[1]/div[1]/div[1]/input[1]

I have tried to select by class and css selector with no luck. I'd really like to understand how to approach this specific issue, and also a general idea of where in an element I should play around with for future instances of dynamic elements.

Thanks!

(If the element details I provided are not helpful, the element can also be accessed with the below code:)

driver.get("https://bi.prozorro.org/sense/app/fba3f2f2-cf55-40a0-a79f-b74f5ce947c2/sheet/NFTrm/state/analysis")

driver.find_element_by_xpath("//thead/tr[1]/th[2]").click()

#the input box I am attempting to select to no avail:
while True:
        try:
            WebDriverWait(driver, 25).until(EC.presence_of_element_located((By.XPATH, "//body/div[7]/div[1]/div[1]/div[1]/ng-transclude[1]/div[1]/div[3]/div[1]/article[1]/div[1]/div[1]/div[1]/div[1]/div[1]/div[1]/input[1]")))
            break
        except TimeoutException:
            print("Loading took too much time!")