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Installing Package in Emacs: Cannot install Auctex Package from Elpa

I use GNU Emacs 28.2 on EndeavourOS. I am a Emacs newbie.

When I try to install Auctex with M-x package-install the message no match occurs.
What I tried insofar, but without success:

  • I updated with M-x package
  • tried with ‘use-package as described elsewhere
  • In arch-aur is the package not anymore supported.

My init.el:

(setq inhibit-startup-message t)
(tool-bar-mode -1)


(require 'package)
(setq package-enable-at-startup nil)
(add-to-list 'package-archives
'("melpa" . "https://melpa.org/packages/"))

(package-initialize)

;; Bootstrap `use-package'
(unless (package-installed-p 'use-package)
(package-refresh-contents)
(package-install 'use-package))

(use-package try
:ensure t)

(use-package which-key
:ensure t
:config
(which-key-mode))

;; Org-mode stuff
(use-package org-bullets
  :ensure t
  :config
  (add-hook 'org-mode-hook (lambda () (org-bullets-mode 1))))

In https://melpa.org/#/ Auctex is not listed, but it is in http://elpa.gnu.org/.

So I did add-to-list package-archive of elpa, as described elsewhere, but also without success.

Any clue?