Relevant context. It is not always legal for the police to lie, and they often do anyway. Be aware of your rights.
https://www.cato.org/commentary/what-happens-when-police-lie
https://www.blasslaw.com/faqs/when-can-the-police-lie-to-you...
You're not dropping any truth bombs, you're just rationalising cowardice in the face of injustice.