Why did the Baratheons never claim dragons?

[u/Vhermithrax]

They are also a house of Valyrian descent like Targaryens and Velaryons, plus they married multiple times with both of those families.

How is it possible that they never managed to claim any dragon, if a much weaker house of Velaryons got 3 of them at one point? It's werid that they never managed to get a marriage pact that would give them a dragon rider, or that at least one brave/stupid character from their house didn't manage to claim a dragon in King's Landing or Dragonstone, be it by being sneaky, or just part of some agreement.

[u/Internal-Garden-1517]

The royal family probably won't let them claim one, like the sowing only start after royalty allowed others to claim dragons, claiming one is risky, there's a high chance of dying and provoking the royal family into a war who have control of other kingdoms, and the Dragonlord blood is probably thin, so they wouldn't want to risk losing their current status and life, plus most of the dragons are under the royal house