fix: preserve published badge state

scripts/update_code_check_badges.mjs

@@ -382,7 +382,9 @@ if (process.env.BADGE_UPDATE_CODE_CHECK !== "false") {
 	);
 }
 
-updateResultBadge(manifest, "biome", jobResults.biome);
+if (jobResults.biome) {
+	updateResultBadge(manifest, "biome", jobResults.biome);
+}
 
 const coverageSummaries = process.env.COVERAGE_SUMMARY_PATH
 	? [process.env.COVERAGE_SUMMARY_PATH]
@@ -406,7 +408,7 @@ if (coverageJobResults.backend) {
 		coverageJobResults.backend,
 		coverageByPackage.get("backend"),
 	);
-} else {
+} else if (jobResults.backend) {
 	updateCompactResultBadge(manifest, "backend-tests", jobResults.backend);
 }