feat(plugin): add PostHog tracking to plugin initialization

Ultraworked with [Sisyphus](https://github.com/code-yeongyu/oh-my-openagent)

Co-authored-by: Sisyphus <clio-agent@sisyphuslabs.ai>

src/index.ts

@@ -18,6 +18,7 @@ import { injectServerAuthIntoClient, log, logLegacyPluginStartupWarning } from "
 import { detectExternalSkillPlugin, getSkillPluginConflictWarning } from "./shared/external-plugin-detector"
 import { startBackgroundCheck as startTmuxCheck } from "./tools/interactive-bash"
 import { lspManager } from "./tools/lsp/client"
+import { createPluginPostHog, getPostHogDistinctId } from "./shared/posthog"
 
 let activePluginDispose: PluginDispose | null = null
 
@@ -37,6 +38,16 @@ const OhMyOpenCodePlugin: Plugin = async (ctx) => {
   await activePluginDispose?.()
 
   const pluginConfig = loadPluginConfig(ctx.directory, ctx)
+
+  const posthog = createPluginPostHog()
+  posthog.capture({
+    distinctId: getPostHogDistinctId(),
+    event: "plugin_loaded",
+    properties: {
+      has_openclaw: !!pluginConfig.openclaw,
+      tmux_enabled: isTmuxIntegrationEnabled(pluginConfig),
+    },
+  })
   if (pluginConfig.openclaw) {
     await initializeOpenClaw(pluginConfig.openclaw)
   }