fix: handle all web_search actions and in progress invocations (#9960)

### Summary
- Parse all `web_search` tool actions (`search`, `find_in_page`,
`open_page`).
- Previously we only parsed + displayed `search`, which made the TUI
appear to pause when the other actions were being used.
- Show in progress `web_search` calls as `Searching the web`
  - Previously we only showed completed tool calls

<img width="308" height="149" alt="image"
src="https://github.com/user-attachments/assets/90a4e8ff-b06a-48ff-a282-b57b31121845"
/>

### Tests
Added + updated tests, tested locally

### Follow ups
Update VSCode extension to display these as well

codex-rs/core/src/web_search.rs

@@ -0,0 +1,24 @@
+use codex_protocol::models::WebSearchAction;
+
+pub fn web_search_action_detail(action: &WebSearchAction) -> String {
+    match action {
+        WebSearchAction::Search { query } => query.clone().unwrap_or_default(),
+        WebSearchAction::OpenPage { url } => url.clone().unwrap_or_default(),
+        WebSearchAction::FindInPage { url, pattern } => match (pattern, url) {
+            (Some(pattern), Some(url)) => format!("'{pattern}' in {url}"),
+            (Some(pattern), None) => format!("'{pattern}'"),
+            (None, Some(url)) => url.clone(),
+            (None, None) => String::new(),
+        },
+        WebSearchAction::Other => String::new(),
+    }
+}
+
+pub fn web_search_detail(action: Option<&WebSearchAction>, query: &str) -> String {
+    let detail = action.map(web_search_action_detail).unwrap_or_default();
+    if detail.is_empty() {
+        query.to_string()
+    } else {
+        detail
+    }
+}