language servers: Fix wrong language server name (#20428)

This fixes the issue of multiple language servers showing up as `node`
in the language server logs dropdown.

It does this by changing `language_server.name()` to return the
adapter's name, not the binary name, and changing types to make sure
that we always use this.

Release Notes:

- Fixed language server names showing up only as `"node"`

---------

Co-authored-by: Sam Rose <hello@samwho.dev>
Co-authored-by: Bennet <bennet@zed.dev>

crates/language_tools/src/lsp_log_tests.rs

@@ -5,9 +5,8 @@ use crate::lsp_log::LogMenuItem;
 use super::*;
 use futures::StreamExt;
 use gpui::{Context, SemanticVersion, TestAppContext, VisualTestContext};
-use language::{
-    tree_sitter_rust, FakeLspAdapter, Language, LanguageConfig, LanguageMatcher, LanguageServerName,
-};
+use language::{tree_sitter_rust, FakeLspAdapter, Language, LanguageConfig, LanguageMatcher};
+use lsp::LanguageServerName;
 use lsp_log::LogKind;
 use project::{FakeFs, Project};
 use serde_json::json;