Provide tiktok, instagram social share button in the option list.

You can add as many as services you want by adding it in configuration.
https://www.addtoany.com/buttons/customize/drupal/add_services

I think the link provided is broken. please check: https://www.addtoany.com/buttons/customize/drupal/add_services
and in the additional options of the AddToAny configuration add the desired javascript

You can fill the js as

a2a_config.custom_services = [
["Example dot com",
"https://www.example.com/add?url=A2A_LINKURL_ENC&title=A2A_LINKNAME_ENC",
"https://www.example.com/images/icon_32x32.png",
],
["Example dot net",
"https://www.example.net/add?url=A2A_LINKURL_ENC&title=A2A_LINKNAME_ENC",
"https://www.example.net/images/icon_32x32.png",
],
["Example dot org",
"https://www.example.org/add?url=A2A_LINKURL_ENC&title=A2A_LINKNAME_ENC",
"https://www.example.org/images/icon_32x32.png",
],
];

Where link and title can be replaced.

TikTok & Instagram do not offer proper sharing endpoints for the web, but they're available as follow buttons within AddToAny so you can link to your social media profiles. See:

https://www.addtoany.com/buttons/customize/drupal/follow_buttons