Skip the subtlety. Instead of precision-matching 47,239°C, exceed it. Jump straight to the 4th state of matter (plasma). At plasma temperature, you theoretically transcend the Flamelock's detection parameters. You become more fire than the fire. The firewall has no protocol for entities hotter than itself.
The plasma transition begins at ~10,000–100,000°C depending on material. Your body transitions to plasma around 5,000°C (significantly below the target). At that point, the question "can you pass through the Flamelock" becomes irrelevant because you are no longer a coherent entity.
The CE notes: "Plasma overdrive was attempted by Entity #23,401. Their plasma briefly registered a higher temperature than the Flamelock outer boundary. This was celebrated for 0.0003 milliseconds before their plasma dispersed at C/10 in all directions. The Flamelock was not impressed. The plasma did not retain the entity's memory of wanting to pass through the Flamelock."