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/assistant_tools/Cargo.toml

@@ -21,9 +21,11 @@ assistant_tool.workspace = true
 buffer_diff.workspace = true
 chrono.workspace = true
 client.workspace = true
+cloud_llm_client.workspace = true
 collections.workspace = true
 component.workspace = true
 derive_more.workspace = true
+diffy = "0.4.2"
 editor.workspace = true
 feature_flags.workspace = true
 futures.workspace = true
@@ -63,8 +65,6 @@ web_search.workspace = true
 which.workspace = true
 workspace-hack.workspace = true
 workspace.workspace = true
-zed_llm_client.workspace = true
-diffy = "0.4.2"
 
 [dev-dependencies]
 lsp = { workspace = true, features = ["test-support"] }