fix(#5.1): strip HEADLESS_ONLY/NO_DAEMON from daemon spawn env

Issue #5 root cause: `PERPLEXITY_HEADLESS_ONLY=1` leaked from the IDE
config env block into the daemon process. When the daemon spawned, it
inherited `...process.env`, so `PerplexityClient.init()` saw the flag
and skipped the headed bootstrap entirely — authenticated Pro features
remained unavailable.

Changes:
- stdio-daemon-proxy.ts: remove `PERPLEXITY_HEADLESS_ONLY` from the
  auto-generated env block (new configs won't carry it).
- launcher.ts spawnDetachedDaemon: delete both `PERPLEXITY_HEADLESS_ONLY`
  and `PERPLEXITY_NO_DAEMON` from the env before spawning.
- runtime.ts spawnBundledDaemon: same stripping.

This also fixes pre-existing IDE configs that still have the flag:
the spawn-time strip removes it regardless of config age.

Refs issue #5

Author: A.R.

packages/extension/src/auto-config/transports/stdio-daemon-proxy.ts

@@ -17,8 +17,9 @@ export const stdioDaemonProxyBuilder: TransportBuilder = {
     }
 
     const env: Record<string, string> = {
-      PERPLEXITY_HEADLESS_ONLY: "1",
       // NOTE: no PERPLEXITY_NO_DAEMON — launcher multiplexes onto the shared daemon.
+      // NOTE: no PERPLEXITY_HEADLESS_ONLY — the daemon decides headless vs headed
+      // based on its own availability probe, not the IDE's env block.
     };
 
     if (typeof input.chromePath === "string" && input.chromePath.length > 0) {

packages/extension/src/daemon/runtime.ts

@@ -460,11 +460,17 @@ async function spawnBundledDaemon(options: { configDir: string; host?: string; p
     `[daemon] PERPLEXITY_VAULT_PASSPHRASE: ${extraEnv.PERPLEXITY_VAULT_PASSPHRASE ? "set" : "unset"}`,
   );
 
+  // Strip launcher-scoped flags that must never reach the daemon's own
+  // PerplexityClient.init() — they would force headless mode or stdio bypass.
+  const baseEnv = { ...process.env };
+  delete baseEnv.PERPLEXITY_HEADLESS_ONLY;
+  delete baseEnv.PERPLEXITY_NO_DAEMON;
+
   const child = spawn(process.execPath, args, {
     detached: true,
     stdio: ["ignore", logFd, logFd],
     env: {
-      ...process.env,
+      ...baseEnv,
       ...extraEnv,
       // Hard-coded overrides — must come AFTER extraEnv so a buggy provider
       // cannot clobber them.

packages/mcp-server/src/daemon/launcher.ts

@@ -931,11 +931,17 @@ async function spawnDetachedDaemon(options: {
     args.push("--tunnel");
   }
 
+  // Strip launcher-scoped flags that must never reach the daemon's own
+  // PerplexityClient.init() — they would force headless mode or stdio bypass.
+  const env = { ...process.env };
+  delete env.PERPLEXITY_HEADLESS_ONLY;
+  delete env.PERPLEXITY_NO_DAEMON;
+
   const child = spawn(process.execPath, args, {
     detached: true,
     stdio: "ignore",
     env: {
-      ...process.env,
+      ...env,
       PERPLEXITY_CONFIG_DIR: options.configDir,
     },
   });