Conservative talk-show host Dan Bongino is telling his syndicator: Your vaccine mandate or me. “You can’t have both.” Prefacing his challenge with “I don’t work for anyone” and is merely a “partner with Cumulus,” Mr. Bongino challenged the radio giant on Monday’s episode of “The Dan Bongino Show” to cancel his program, vowing to “not let this go.” “You can have me, or you can have a vaccine mandate, but you can’t have both,” Mr. Bongino said. “I grew up without a lot of money. … I’m not leaving those guys behind.” Cumulus Media announced this summer that employees who...