docs: remove obsolete Claude Code and omp docs, update references

docs/shell/scripts.mdx

@@ -247,7 +247,7 @@ Reads lines on stdin and prints them newest-first by the mtime of each line's la
 omp-session
 ```
 
-Starts or resumes [omp](/ai/omp) for the current git repo by fixed rules, so <kbd>ctrl-a</kbd> never asks when the answer is obvious.
+Starts or resumes omp for the current git repo by fixed rules, so <kbd>ctrl-a</kbd> never asks when the answer is obvious.
 
 | HEAD | Does |
 | --- | --- |
@@ -256,7 +256,7 @@ Starts or resumes [omp](/ai/omp) for the current git repo by fixed rules, so <kb
 | Detached | Opens the `omp-sessions` cable (a new session when there are none) |
 | Outside a git repo | Plain `omp` |
 
-Resuming runs `omp --resume <session file>`; omp switches to the session's own cwd.
+Resuming runs `omp --resume <session file>`; omp switches to the session's own cwd. `omp-session --new` runs plain `omp`; it is the cable's <kbd>ctrl-n</kbd> action and marks `OMP_SESSION_STATE` like a resume does, so the prompt is not moved after a new session.
 
 **Sessions.** Every `*/*.jsonl` under `$PI_CODING_AGENT_DIR/sessions` (default `~/.omp/agent/sessions`) whose `session` header `cwd` is the worktree root or below it, excluding worktrees nested inside it. Session age is the file's mtime (the last write).
 
@@ -272,7 +272,7 @@ Resuming runs `omp --resume <session file>`; omp switches to the session's own c
 
 **Prompt redraw.** The launcher runs `tv omp-sessions --inline` with `OMP_SESSION_STATE` set to a temp file. When the picker is cancelled (no `ran`), it prints `\033[A` to `/dev/tty` so the shell redraws the prompt in place; the key bindings just repaint.
 
-**Launched by:** <kbd>ctrl-a</kbd> in fish and zsh.
+**Launched by:** <kbd>ctrl-a</kbd> in fish and zsh. <kbd>ctrl-n</kbd> at the prompt runs `omp` directly, not this script.
 
 **Needs:** `python3`, `git`, `omp`, `tv`.