fix(submit): use file path over stdin; fix CF CodeMirror textarea (#305)

## Problem

After the initial submit hardening, two issues remained: source code was
read in Lua and piped as stdin to the scraper (unnecessary roundtrip
since
the file exists on disk), and CF's `page.fill()` timed out on the hidden
`textarea[name="source"]` because CodeMirror owns the editor state.

## Solution

Pass the source file path as a CLI arg instead — AtCoder calls
`page.set_input_files(file_path)` directly, CF reads it with
`Path(file_path).read_text()`. Fix CF source injection via
`page.evaluate()`
into the CodeMirror instance. Extract `BROWSER_SUBMIT_NAV_TIMEOUT` as a
per-platform `defaultdict` (CF defaults to 2× nav timeout). Save the
buffer
with `vim.cmd.update()` before submitting.

scrapers/codechef.py

@@ -33,7 +33,7 @@ MEMORY_LIMIT_RE = re.compile(
 )
 
 
-async def fetch_json(client: httpx.AsyncClient, path: str) -> dict:
+async def fetch_json(client: httpx.AsyncClient, path: str) -> dict[str, Any]:
     r = await client.get(BASE_URL + path, headers=HEADERS, timeout=HTTP_TIMEOUT)
     r.raise_for_status()
     return r.json()
@@ -256,7 +256,7 @@ class CodeChefScraper(BaseScraper):
         self,
         contest_id: str,
         problem_id: str,
-        source_code: str,
+        file_path: str,
         language_id: str,
         credentials: dict[str, str],
     ) -> SubmitResult: