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If it's a really reliable source and sounds plausible, very little. Iran hit a hospital in Israel recently.
If it's some random person and sounds plausible, probably many repetitions from unrelated people in unrelated contexts, with some time as "word is" after a couple or few mentions. Airport security is theater and misses actual weapons all the time. I guess I should add the caveat that if it's something easily refuted like "TSA hires out of malls" it gets promoted to fact faster, because of Cunningham's law.
If it sounds implausible, a lot. Like, it might be a thing I painstakingly confirm or deny over the course of years. Thermodynamics is always explained in a way that has massive gaping logical holes. It obviously empirically works, but a rigorous derivation without any sneaky tricks would probably imply a proof of P!=NP - and it took me years to work my way through enough papers and literature to confirm that.
If it's a source or type of source with a history of making up the sort of thing they're saying, infinite - it will be all noise regardless of how much data there is.
Laying it out like this, I clearly put a lot of emphasis on the motivation and past track record of sources. There's so many things to see and measure, far too many, and there's also lies and mistakes, so I guess one has to. That's probably been true since the stone age, and probably drove some human evolution, although it's intensified quite a lot in recent history.
Note that even facts are still subject to skepticism, discussion and revision. Absolute certainty it it's own beast, and it's not a universally agreed-on fact that it even exists.