Why does my AppleScript code run in Script Editor but not as an exported application?

I wrote an AppleScript code that runs without issue in Script Editor, but when I export it as an application and try to run it, I receive the error message "<app name> is not allowed assistive access. system Events got an error: <app name> is not allowed assistive access. (-25211)". I have already added Script Editor and my application to the accessibility settings, but the problem persists. I have also tried reopening the settings and restarting my computer, but the issue remains. What else can I do to fix this problem? Thank you!

And here is the code:

on run
	set theURL to "http://www.poe.com"
	set targetWindowTitles to {"Sage - Poe", "GPT-4 - Poe"}
	set targetWindowName to ""
	set noActiveWindows to true
	
	tell application "System Events"
		-- Check if Safari is running
		set isRunning to (count of (every process whose name is "Safari")) > 0
		
		if isRunning then
			set safariApp to first application process whose name is "Safari"
			set safariWindows to windows of safariApp
			
			if (count of safariWindows) > 0 then
				set noActiveWindows to false
				
				repeat with win in safariWindows
					set winName to name of win
					if winName is in targetWindowTitles then
						set targetWindowName to winName
						exit repeat
					end if
				end repeat
			end if
		end if
	end tell
	
	tell application "Safari"
		if not isRunning or noActiveWindows or targetWindowName is "" then
			if not isRunning then
				-- Launch Safari but don't activate to prevent opening a blank window
				launch
			end if
			
			-- Create a new document and navigate to theURL
			make new document with properties {URL:theURL}
			set bounds of front window to {0, 22, 800, 822}
			
			-- Close all other blank windows
			close (every window whose name is "Untitled" and index is not 1)
			
			-- Make the new window the frontmost window
			activate
			set index of front window to 1
		else if targetWindowName is not "" then
			activate
			set targetWindow to first window whose name is targetWindowName
			set index of targetWindow to 1
		end if
	end tell
end run