feat(logger): Add new Logger service

A new file logger.service.ts is created which implements the LoggerService from @nestjs/common. This service utilizes the Winston logging library and includes logging functions for different levels of messages such as log, error, warn, debug, and verbose. A logger object with timestamp and simple format is configured to output the logs to both console and a file named "application.log".

src/logger/logger.service.ts

@@ -0,0 +1,40 @@
+import { Injectable, type LoggerService, Scope } from "@nestjs/common";
+import * as Winston from "winston";
+
+@Injectable({ scope: Scope.TRANSIENT })
+export class LogService implements LoggerService {
+	private readonly winstonLogger: Winston.Logger;
+
+	constructor() {
+		this.winstonLogger = Winston.createLogger({
+			format: Winston.format.combine(
+				Winston.format.timestamp(),
+				Winston.format.simple(),
+			),
+			transports: [
+				new Winston.transports.Console(),
+				new Winston.transports.File({ filename: "application.log" }),
+			],
+		});
+	}
+
+	log(message: string) {
+		this.winstonLogger.info(message);
+	}
+
+	error(message: string, trace: string) {
+		this.winstonLogger.error(`Message: ${message} - Trace: ${trace}`);
+	}
+
+	warn(message: string) {
+		this.winstonLogger.warn(message);
+	}
+
+	debug(message: string) {
+		this.winstonLogger.debug(message);
+	}
+
+	verbose(message: string) {
+		this.winstonLogger.verbose(message);
+	}
+}