### Godot version

4.0.dev (61630d4e1e279278d29576b979b710b9025f473e)

### System information

Windows 10

### Issue description

> **Note**
> this issue was reported by @glimpsebeyond on [godot-vscode-plugin](https://github.com/godotengine/godot-vscode-plugin/issues/389#issuecomment-1302540744)

On Windows, due to a path separator mismatch (Godot: `/` and Windows: `\`), the debug adapter protocol fails as it thinks the opened project is in a different directory.

Likewise, there are other scenarios where this check is too strict, failing as well due to the drive letter's capitalization (`c:\` vs `C:\`. Good example from the linked issue:
```
[error] The editor and client are working on different paths; the client is on 
"d:\gameDev\gd4proj\builder\pawn.cs", but the editor is on "D:/gameDev/gd4proj/builder": CodeExpectedError: 
The editor and client are working on different paths; 
the client is on "d:\gameDev\gd4proj\builder\pawn.cs", but the editor is on "D:/gameDev/gd4proj/builder"
```

### Steps to reproduce

- Try using DAP from a project on Windows (like [VSCode's extension](https://github.com/godotengine/godot-vscode-plugin))

### Minimal reproduction project

N/A
ScriptEditorDebugger *dbg = EditorDebuggerNode::get_singleton()->get_default_debugger();
	if (!dbg->is_session_active()) {
		return prepare_error_response(p_params, DAP::ErrorType::NOT_RUNNING);
	}
	DebugAdapterProtocol::get_singleton()->get_current_peer()->attached = true;
	DebugAdapterProtocol::get_singleton()->notify_process();
	return prepare_success_response(p_params);
}
Dictionary DebugAdapterParser::req_restart(const Dictionary &p_params) const {
	
	Dictionary params = p_params, args;
	args = params["arguments"];
	args = args["arguments"];
	params["arguments"] = args;
	Dictionary response = DebugAdapterProtocol::get_singleton()->get_current_peer()->attached ? req_attach(params) : req_launch(params);
	if (!response["success"]) {
		response["command"] = p_params["command"];
		return response;
	}
	return prepare_success_response(p_params);
}
Dictionary DebugAdapterParser::req_terminate(const Dictionary &p_params) const {