What dragon exactly? Well, the ones in my story tend to be "smaller", around the size of a larger horse with wingspans of 10-12 meters. They have six limbs and are capable of powered flight. They use Javelins and hard-kill MPADS countermeasures instead of fire.
Of course, dragons can't and won't engage with high-end mechanized troops (tanks, fighter jets) and are instead deployed with light infantry, providing reconnaissance, transportation, and a little air support when necessary, until the real one arrives. You probably want to hold onto that anyway. It's bad practice to fire your strongest cards first.
However, having a volant teammate with rather large wings is going to be a problem when it comes to radars. Of course, that's only the case when they're flying but still, stealth is important, regardless of who you engage.
Visual contact usually happens when the dragon is out of range, so that's not so much a problem, plus they can move fast enough that following them without an aircraft is pointless and potentially dangerous.
Since storywise, dragons were genetically engineered to be a useful addition to the ranks of Black Troubleshooters (more on them in another question), it only makes sense for them to naturally be able to screw with radars, but how?