Is it considered forbidden to agree to the terms of use of applications or games without reading them, and is that considered a lie, and does using the program after that become prohibited?

Agreeing to the terms and conditions of devices and websites without reading them is neither forbidden nor does it prevent their permissible use. It appears that the questioner is suffering from obsessive doubts (waswas), and he should disregard these doubts, pay no attention to them, and refrain from asking about them, while supplicating to Allah and consulting psychiatrists; for excessive questioning does not cure waswas but rather increases it.