After winning the Superbowl and the team gets their Superbowl rings, do they also get their AFC or NFC championship ring?

When an NFL teams wins the AFC or NFC championship ring, they advance to the Superbowl and when a team wins that game, they get their Superbowl rings 4-6 months later. When a team wins the Superbowl, do they also receive the AFC or NFC championship ring?
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