ci: Update claude-code-action to latest v1 and suppress output (#26520)

Co-authored-by: Claude Opus 4.6 <noreply@anthropic.com>

.github/scripts/claude-task/prepare-claude-prompt.mjs

@@ -66,4 +66,3 @@ When running lint/typecheck, suppress verbose output:
 const delimiter = `CLAUDE_PROMPT_DELIM_${randomUUID().replace(/-/g, '')}`;
 appendFileSync(envFile, `CLAUDE_PROMPT<<${delimiter}\n${prompt}\n${delimiter}\n`);
 
-console.log(`Prompt written to GITHUB_ENV (${prompt.length} chars)`);

.github/scripts/claude-task/resume-callback.mjs

@@ -48,8 +48,6 @@ try {
 		body: payload,
 	});
 
-	console.log(`Callback sent: ${response.status} ${response.statusText}`);
-
 	if (!response.ok) {
 		const body = await response.text();
 		console.error(`Callback failed: ${body}`);