docs: update README and basic usage documentation to include workspace layout and enhanced LaTeX editor features

Author: TKassis

README.md

@@ -50,6 +50,7 @@ Three things to know up front:
 **Stay organized and in control**
 
 - **Work in projects** — each with its own files, chat history, up to 10 side-by-side chat tabs, and cost tracking with optional spending caps.
+- **Arrange your workspace** — resize the three panels, or collapse the file browser and chat independently with one click to give the editor and previews the full screen (ideal for writing LaTeX or studying a figure). Your layout is remembered.
 - **Pick up where you left off** — reopen any past chat from the session history menu, full transcript included.
 - **Connect external tools** through [MCP](./docs/mcp-servers.md) (Model Context Protocol — a standard plug-in system for AI assistants): GitHub, reference managers, databases, and hundreds of others.
 - **Manage everything from Settings** — browse and toggle skills, create or disable specialists, connect or disconnect external tools, and manage API keys, all from one in-app panel. No configuration files to edit, and turning something off never deletes it.

docs/basic-usage.md

@@ -23,6 +23,8 @@ Kady works like a researcher at a computer: it reads and writes files, runs code
 
 ## The interface
 
+Kady's workspace has three columns: the **file browser** on the left, the **file preview / editor** in the center, and the **chat** on the right. Drag the dividers between columns to resize them. The two panel buttons in the header (next to the Settings gear) collapse the left and right panels independently — each button is highlighted while its panel is open — so you can give the center pane the full window width. That's especially useful when writing LaTeX or studying a large figure. Your choice is remembered across restarts, and a hidden chat keeps running in the background.
+
 ### Chat tabs — up to 10 parallel chats
 
 Click `+` in the chat tab strip to open a new chat in the same project. Each tab keeps its own message history, model choice, attached files, and cost meter — but all tabs share the project's files, so results from one chat are immediately available in the others. Tabs keep working in the background while you switch between them. Double-click a tab title to rename it; closing a tab cancels any work it had running.
@@ -48,7 +50,7 @@ Kady can query **229 scientific and financial databases** across 18 categories 
 
 ### LaTeX editor
 
-Open any `.tex` file for a split-pane editor with live PDF compilation (pdfLaTeX, XeLaTeX, LuaLaTeX) — handy for writing up results without leaving the app.
+Open any `.tex` file and click **Edit** for a split-pane editor with live PDF compilation. It includes a choice of engine (pdfLaTeX, XeLaTeX, LuaLaTeX), a section outline with click-to-jump, forward and inverse SyncTeX (jump between a source line and its spot in the PDF), autocomplete and spell check, a compile log with inline error and warning diagnostics, quick-insert snippets, and a word count. AI assist is built in: press `Cmd/Ctrl+K` to rewrite a selection from an instruction, or click **Fix with AI** on a compile error — each change lands as a diff you can keep or revert. Collapse the file browser and chat (the panel buttons in the header) to give the editor and PDF the full window.
 
 ### Other input options