Replace zed_llm_client with cloud_llm_client (#35309)

This PR replaces the usage of the `zed_llm_client` with the
`cloud_llm_client`.

It was ported into this repo in #35307.

Release Notes:

- N/A

crates/language_model/src/language_model.rs

@@ -11,6 +11,7 @@ pub mod fake_provider;
 use anthropic::{AnthropicError, parse_prompt_too_long};
 use anyhow::{Result, anyhow};
 use client::Client;
+use cloud_llm_client::{CompletionMode, CompletionRequestStatus};
 use futures::FutureExt;
 use futures::{StreamExt, future::BoxFuture, stream::BoxStream};
 use gpui::{AnyElement, AnyView, App, AsyncApp, SharedString, Task, Window};
@@ -26,7 +27,6 @@ use std::time::Duration;
 use std::{fmt, io};
 use thiserror::Error;
 use util::serde::is_default;
-use zed_llm_client::{CompletionMode, CompletionRequestStatus};
 
 pub use crate::model::*;
 pub use crate::rate_limiter::*;

crates/language_model/src/request.rs

@@ -1,10 +1,9 @@
 use std::io::{Cursor, Write};
 use std::sync::Arc;
 
-use crate::role::Role;
-use crate::{LanguageModelToolUse, LanguageModelToolUseId};
 use anyhow::Result;
 use base64::write::EncoderWriter;
+use cloud_llm_client::{CompletionIntent, CompletionMode};
 use gpui::{
     App, AppContext as _, DevicePixels, Image, ImageFormat, ObjectFit, SharedString, Size, Task,
     point, px, size,
@@ -12,7 +11,9 @@ use gpui::{
 use image::codecs::png::PngEncoder;
 use serde::{Deserialize, Serialize};
 use util::ResultExt;
-use zed_llm_client::{CompletionIntent, CompletionMode};
+
+use crate::role::Role;
+use crate::{LanguageModelToolUse, LanguageModelToolUseId};
 
 #[derive(Clone, PartialEq, Eq, Serialize, Deserialize, Hash)]
 pub struct LanguageModelImage {