feat: add desktop recordings API methods to PostHogAPIClient

Add API methods for desktop recordings CRUD operations:
- createDesktopRecordingUpload(): Create upload token for new recording
- getDesktopRecording(): Fetch recording metadata
- getDesktopRecordingTranscript(): Fetch recording transcript
- listDesktopRecordings(): List recordings with optional filters

These methods are used by the Recall SDK integration to interact with
the PostHog backend for desktop meeting recordings.

Author: lucasheriques

src/api/posthogClient.ts

@@ -249,4 +249,94 @@ export class PostHogAPIClient {
     });
     return data.results ?? [];
   }
+
+  // Desktop Recordings API
+  async createDesktopRecordingUpload(platform: string = "desktop_audio") {
+    const teamId = await this.getTeamId();
+    const url = new URL(
+      `${this.api.baseUrl}/api/environments/${teamId}/desktop_recordings/create_upload/`,
+    );
+    const response = await this.api.fetcher.fetch({
+      method: "post",
+      url,
+      path: `/api/environments/${teamId}/desktop_recordings/create_upload/`,
+      parameters: {
+        body: { platform },
+      },
+    });
+
+    if (!response.ok) {
+      throw new Error(
+        `Failed to create recording upload: ${response.statusText}`,
+      );
+    }
+
+    return await response.json(); // { upload_token, recording_id }
+  }
+
+  async getDesktopRecording(recordingId: string) {
+    const teamId = await this.getTeamId();
+    const url = new URL(
+      `${this.api.baseUrl}/api/environments/${teamId}/desktop_recordings/${recordingId}/`,
+    );
+    const response = await this.api.fetcher.fetch({
+      method: "get",
+      url,
+      path: `/api/environments/${teamId}/desktop_recordings/${recordingId}/`,
+    });
+
+    if (!response.ok) {
+      throw new Error(`Failed to fetch recording: ${response.statusText}`);
+    }
+
+    return await response.json();
+  }
+
+  async getDesktopRecordingTranscript(recordingId: string) {
+    const teamId = await this.getTeamId();
+    const url = new URL(
+      `${this.api.baseUrl}/api/environments/${teamId}/desktop_recordings/${recordingId}/transcript/`,
+    );
+    const response = await this.api.fetcher.fetch({
+      method: "get",
+      url,
+      path: `/api/environments/${teamId}/desktop_recordings/${recordingId}/transcript/`,
+    });
+
+    if (!response.ok) {
+      throw new Error(`Failed to fetch transcript: ${response.statusText}`);
+    }
+
+    return await response.json();
+  }
+
+  async listDesktopRecordings(filters?: {
+    platform?: string;
+    status?: string;
+    search?: string;
+  }) {
+    const teamId = await this.getTeamId();
+    const url = new URL(
+      `${this.api.baseUrl}/api/environments/${teamId}/desktop_recordings/`,
+    );
+
+    if (filters) {
+      for (const [key, value] of Object.entries(filters)) {
+        if (value) url.searchParams.set(key, value);
+      }
+    }
+
+    const response = await this.api.fetcher.fetch({
+      method: "get",
+      url,
+      path: `/api/environments/${teamId}/desktop_recordings/`,
+    });
+
+    if (!response.ok) {
+      throw new Error(`Failed to list recordings: ${response.statusText}`);
+    }
+
+    const data = await response.json();
+    return data.results ?? data ?? [];
+  }
 }