https://www.samaritans.org/how-we-can-help/if-youre-worried-about-someone-else/myths-about-suicide/
"Myth: Talking about suicide is a bad idea as it may give someone the idea to try it.
Fact: Suicide can be a taboo topic. Often, people who are feeling suicidal don't want to worry or burden anyone with how they feel and so they don't discuss it.
But, by asking someone directly about suicide, you give them permission to tell you how they feel. People who are struggling or have felt suicidal will often say what a huge relief it was to be able to talk about what they were experiencing.
Once someone starts talking, they've got a better chance of discovering options that aren't suicide."