VS Code: Support drag-and-drop for PDF and other file types in chat input

Feature Request

Current behavior: In the VS Code extension, only images (PNG/JPG/GIF/WebP) can be dragged into the chat input. For PDFs and other supported file types, users must manually copy the file path and ask Claude to read it.

Desired behavior: Allow drag-and-drop of PDF files (and other Claude-supported file types) directly into the chat input, just like images. Dragging a PDF from the VS Code file explorer into the chat should automatically trigger Claude to read it.

Use case: When reviewing documents alongside code, it's much more natural to drag a file in rather than copy its path. This is especially common for:

• Reviewing API documentation (PDF)
• Analyzing spec documents
• Reading design docs while coding

Workaround: Right-click file → Copy Path → paste into chat → ask Claude to Read it. Works but adds friction.

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