Avoid unnecessary info at non-trace server log level (#16389)

## Summary

Currently, the log messages emitted by the server includes multiple
information which isn't really required most of the time.

Here's the current format:
```
   0.000755625s DEBUG main ruff_server::session::index::ruff_settings: Indexing settings for workspace: /Users/dhruv/playground/ruff
   0.016334666s DEBUG ThreadId(10) ruff_server::session::index::ruff_settings: Ignored path via `exclude`: /Users/dhruv/playground/ruff/.vscode
   0.019954541s  INFO main ruff_server::session::index: Registering workspace: /Users/dhruv/playground/ruff
   0.020160416s TRACE ruff:main notification{method="textDocument/didOpen"}: ruff_server::server::api: enter
   0.020209625s TRACE ruff:worker:0 request{id=1 method="textDocument/diagnostic"}: ruff_server::server::api: enter
   0.020228166s DEBUG ruff:worker:0 request{id=1 method="textDocument/diagnostic"}: ruff_server::resolve: Included path via `include`: /Users/dhruv/playground/ruff/lsp/test.py
   0.020359833s  INFO     ruff:main ruff_server::server: Configuration file watcher successfully registered
```

This PR updates the following:
* Uses current timestamp (same as red-knot) for all log levels instead
of the uptime value
* Includes the target and thread names only at the trace level

What this means is that the message is reduced to only important
information at DEBUG level:

```
2025-02-26 11:35:02.198375000 DEBUG Indexing settings for workspace: /Users/dhruv/playground/ruff
2025-02-26 11:35:02.209933000 DEBUG Ignored path via `exclude`: /Users/dhruv/playground/ruff/.vscode
2025-02-26 11:35:02.217165000  INFO Registering workspace: /Users/dhruv/playground/ruff
2025-02-26 11:35:02.217631000 DEBUG Included path via `include`: /Users/dhruv/playground/ruff/lsp/test.py
2025-02-26 11:35:02.217684000  INFO Configuration file watcher successfully registered
```

while still showing the other information (thread names and target) at
trace level:
```
2025-02-26 11:35:27.819617000 DEBUG main ruff_server::session::index::ruff_settings: Indexing settings for workspace: /Users/dhruv/playground/ruff
2025-02-26 11:35:27.830500000 DEBUG ThreadId(11) ruff_server::session::index::ruff_settings: Ignored path via `exclude`: /Users/dhruv/playground/ruff/.vscode
2025-02-26 11:35:27.837212000  INFO main ruff_server::session::index: Registering workspace: /Users/dhruv/playground/ruff
2025-02-26 11:35:27.837714000 TRACE ruff:main notification{method="textDocument/didOpen"}: ruff_server::server::api: enter
2025-02-26 11:35:27.838019000  INFO ruff:main ruff_server::server: Configuration file watcher successfully registered
2025-02-26 11:35:27.838084000 TRACE ruff:worker:1 request{id=1 method="textDocument/diagnostic"}: ruff_server::server::api: enter
2025-02-26 11:35:27.838205000 DEBUG ruff:worker:1 request{id=1 method="textDocument/diagnostic"}: ruff_server::resolve: Included path via `include`: /Users/dhruv/playground/ruff/lsp/test.py
```

Author: dhruvmanila

Cargo.lock

@@ -40,7 +40,7 @@ shellexpand = { workspace = true }
 thiserror = { workspace = true }
 toml = { workspace = true }
 tracing = { workspace = true }
-tracing-subscriber = { workspace = true }
+tracing-subscriber = { workspace = true, features = ["chrono"] }
 
 [dev-dependencies]
 insta = { workspace = true }

crates/ruff_server/Cargo.toml

@@ -9,7 +9,7 @@ use serde::Deserialize;
 use std::{path::PathBuf, str::FromStr, sync::Arc};
 use tracing::level_filters::LevelFilter;
 use tracing_subscriber::{
-    fmt::{format::FmtSpan, time::Uptime, writer::BoxMakeWriter},
+    fmt::{format::FmtSpan, time::ChronoLocal, writer::BoxMakeWriter},
     layer::SubscriberExt,
     Layer,
 };
@@ -49,10 +49,13 @@ pub(crate) fn init_logging(log_level: LogLevel, log_file: Option<&std::path::Pat
         Some(file) => BoxMakeWriter::new(Arc::new(file)),
         None => BoxMakeWriter::new(std::io::stderr),
     };
+
+    let is_trace_level = log_level == LogLevel::Trace;
     let subscriber = tracing_subscriber::Registry::default().with(
         tracing_subscriber::fmt::layer()
-            .with_timer(Uptime::default())
-            .with_thread_names(true)
+            .with_timer(ChronoLocal::new("%Y-%m-%d %H:%M:%S.%f".to_string()))
+            .with_thread_names(is_trace_level)
+            .with_target(is_trace_level)
             .with_ansi(false)
             .with_writer(logger)
             .with_span_events(FmtSpan::ENTER)