Why doesn't Flycheck show any error?

[parvizfarnia]

Hello everyone and happy new year.

Recently, I installed Emacs 29-1, and after installing LSP mode and rustic I noticed that no (syntax) error was being detected in real time by flyckeck, as if flycheck hadn't been even installed. Here is the content of my init.el related to Rust:

;; M-x package-install [RET] rust-mode [RET]
;; M-x package-install [RET] cargo [RET]
;; M-x package-install [RET] cargo-mode [RET]
;; M-x package-install [RET] lsp-mode [RET]
;; M-x package-install [RET] rustic [RET]
;; M-x package-install [RET] helm-ag [RET]
;; M-x package-install [RET] flycheck-rust
;; Downlaod the binary of rust-analyzer and add it to CARGO_HOME bin
  (require 'rust-mode)
  (require 'lsp-mode)
  (setq lsp-rust-analyzer-server-command '("D:/Rust/cargo/bin/rust_analyzer"))
  (setq lsp-rust-analyzer-cargo-watch-command "clippy")
  (use-package rustic)
  (add-hook 'rustic-mode-hook
		(lambda () (setq indent-tabs-mode nil)))
  (add-hook 'rustic-mode-hook 'cargo-minor-mode)
  (setq compilation-scroll-output t)
  (setq rustic-lsp-server 'rls)
  (with-eval-after-load 'rustic-mode-hook 
	   (add-hook 'flycheck-mode-hook #'flycheck-rust-setup))

Am I missing something in my above-mentioned configuration which could explain why Flycheck is not working?

Thanks in advance