Thanks for your feedback.
Do you mean that I can leave PostSMTP as it is and just update, right?
This is my report after updating one of the sites.
Mailer: postsmtp
HostName: ------------.com
cURL Version: 7.84.0
OpenSSL Version: OpenSSL/1.1.1p
OS: Linux sg1-ss13.----.com 3.10.0-962.3.2.lve1.5.70.el7.x86_64 #1 SMP Mon May 30 08:45:55 UTC 2022 x86_64
PHP: Linux 7.4.33 C
PHP Dependencies: iconv=Yes, spl_autoload=Yes, openssl=Yes, sockets=Yes, allow_url_fopen=Yes, mcrypt=No, zlib_encode=Yes
WordPress: 6.1.1 en_US UTF-8
WordPress Theme: GeneratePress
WordPress Plugins: ManageWP - Worker, Post SMTP, TablePress, FooGallery, BackWPup, iThemes Security, Code Snippets, Dashboard Notepad, Disable Gutenberg, Duplicator, Enable Media Replace, Error Log Monitor, Find Posts Using Attachment, Flying Pages, FooBox Image Lightbox, Forminator, GP Premium, Lightweight Grid Columns, Lightweight Social Icons, Local Google Fonts, MetaSlider, Official StatCounter Plugin, Plugin Notes, Really Simple SSL, Sassy Social Share, Simple CSS, Spacer, Advanced Editor Tools (previously TinyMCE Advanced), User Role Editor, Yoast SEO, WP Fastest Cache, WP Show Posts
WordPress wp_mail Owner: /home/----/public_html/---/wp-content/plugins/post-smtp/Postman/PostmanWpMailBinder.php
WordPress wp_mail Filter(s): wp_staticize_emoji_for_email, PostsmtpMailer->get_mail_args
WordPress phpmailer_init Action(s): PostsmtpMailer->phpmailer_smtp_init
Postman: 2.2.3
Postman Sender Domain (Envelope|Message): -----------.com | ----------.com
Postman Prevent Message Sender Override (Email|Name): No | No
Postman Active Transport: SMTP (smtps:plain://mail.------------.com:465)
Postman Active Transport Status (Ready|Connected): Yes | Yes
Postman Deliveries (Success|Fail): 383 | 1