fix(tui): fixed inline image transmit replay for full paint

- Adjusted image budget IDs to use a shared 24-bit seed and wrap safely so new budgets no longer collide.
- Added transmit-state reset and changed image output ordering so full paints can replay image data after terminal clears.
- Updated image and protocol tests to match the new wrapped-id behavior and cursor-save/restore-wrapped transmit sequences.

packages/coding-agent/test/debug/protocol-probe.test.ts

@@ -55,8 +55,13 @@ it("uses independent graphics ids for repeated probe panels", () => {
 	const secondBytes = second.render(80).join("\n");
 	budget.endPass();
 
-	expect(firstBytes).toContain("i=1");
-	expect(secondBytes).toContain("i=2");
+	const firstMatch = firstBytes.match(/i=(\d+)/);
+	const secondMatch = secondBytes.match(/i=(\d+)/);
+	expect(firstMatch).not.toBeNull();
+	expect(secondMatch).not.toBeNull();
+	const firstId = Number(firstMatch![1]);
+	const secondId = Number(secondMatch![1]);
+	expect(secondId).toBe((firstId + 1) & 0xffffff || 1);
 });
 
 describe("buildLargeTextLines", () => {