feat: add session_id output to enable resuming conversations (#739)

Add a new `session_id` output that exposes the Claude Code session ID,
allowing other workflows or Claude Code instances to resume the
conversation using `--resume <session_id>`.

Changes:
- Add parseAndSetSessionId() function to extract session_id from
  the system.init message in execution output
- Add session_id output to both action.yml and base-action/action.yml
- Add comprehensive tests for the new functionality

🤖 Generated with [Claude Code](https://claude.com/claude-code)

Co-authored-by: Claude Opus 4.5 <noreply@anthropic.com>

base-action/src/run-claude.ts

@@ -124,6 +124,36 @@ export function prepareRunConfig(
   };
 }
 
+/**
+ * Parses session_id from execution file and sets GitHub Action output
+ * Exported for testing
+ */
+export async function parseAndSetSessionId(
+  executionFile: string,
+): Promise<void> {
+  try {
+    const content = await readFile(executionFile, "utf-8");
+    const messages = JSON.parse(content) as {
+      type: string;
+      subtype?: string;
+      session_id?: string;
+    }[];
+
+    // Find the system.init message which contains session_id
+    const initMessage = messages.find(
+      (m) => m.type === "system" && m.subtype === "init",
+    );
+
+    if (initMessage?.session_id) {
+      core.setOutput("session_id", initMessage.session_id);
+      core.info(`Set session_id: ${initMessage.session_id}`);
+    }
+  } catch (error) {
+    // Don't fail the action if session_id extraction fails
+    core.warning(`Failed to extract session_id: ${error}`);
+  }
+}
+
 /**
  * Parses structured_output from execution file and sets GitHub Action outputs
  * Only runs if --json-schema was explicitly provided in claude_args
@@ -368,6 +398,9 @@ export async function runClaude(promptPath: string, options: ClaudeOptions) {
 
     core.setOutput("execution_file", EXECUTION_FILE);
 
+    // Extract and set session_id
+    await parseAndSetSessionId(EXECUTION_FILE);
+
     // Parse and set structured outputs only if user provided --json-schema in claude_args
     if (hasJsonSchema) {
       try {