docs(docs): clarify inline TV picker behavior and update widget/keybinding documentation

docs/shell/scripts.mdx

@@ -266,7 +266,7 @@ A task runner that searches every task source in the project and lets you pick o
 
 **Scanning.** Walks from `$PWD` up to the git toplevel, inclusive. Outside a repo it stops at the first directory that produced tasks.
 
-**Picker.** `pj` writes the records to a temp file and runs `tv pj --source-command "cat <tmp>" --input-header <project root>`. Rows are tagged with the tool (`npm`, `pnpm`, `bun`, `make`, `just`, `mise`, `poe`, `py`, …), so typing a tool name filters to it. A directory column appears when more than one project contributed tasks. Tasks are sorted by their manifest's mtime, newest first, through `mtime-sort`. The preview shows the task body: the npm script string, the Make recipe, `just --show`, `mise tasks info`, the devbox script, or the pyproject entry.
+**Picker.** `pj` writes the records to a temp file and runs `tv pj --inline --source-command "cat <tmp>" --input-header <project root>`. Rows are tagged with the tool (`npm`, `pnpm`, `bun`, `make`, `just`, `mise`, `poe`, `py`, …), so typing a tool name filters to it. A directory column appears when more than one project contributed tasks. Tasks are sorted by their manifest's mtime, newest first, through `mtime-sort`. The preview shows the task body: the npm script string, the Make recipe, `just --show`, `mise tasks info`, the devbox script, or the pyproject entry.
 
 **Entry points.** The cable calls back into the script:
 
@@ -278,7 +278,7 @@ A task runner that searches every task source in the project and lets you pick o
 
 **Run.** cds into the task's directory and `exec`s the runner. Extra arguments given to `pj` travel to the task through `$PJ_EXTRA` (shell-quoted), with `--` inserted for `npm run`, `mise`, and `devbox`. Tasks named `dev`, `start`, `serve`, `watch`, or namespaced variants like `dev:web` are wrapped in `openlogs` (found on `PATH`, via `mise which`, or in mise's node installs) for a live log tail. Without openlogs they run unwrapped, with a note.
 
-**Env.** `PJ_QUIET=1` suppresses the "no task sources found" error (exit status stays 1). The <kbd>down</kbd> bindings use it.
+**Env.** `PJ_QUIET=1` suppresses the "no task sources found" error (exit status stays 1). The <kbd>down</kbd> bindings use it. `PJ_STATE=FILE` makes `pj` write `open` to `FILE` before launching the picker, and `pj --run` writes `ran`; the file stays empty when there are no task sources. The key bindings read it to tell no tasks, a cancelled picker, and a task that printed output apart and redraw the prompt to match. `pj` itself does no cursor handling, so typing `pj` behaves like any command.
 
 **Launched by:** <kbd>ctrl-p</kbd>, and <kbd>down</kbd> on an empty prompt, in fish, zsh, and bash.