Please specify what version of the library you are using: [ 1.2.9 ]
Please specify what version(s) of SharePoint you are targeting: [ Online ]
How to get JSON file content from document library in IE 11?
It works in Chrome, Opera, Firefox, Edge.
Can't read JSON data from file.
I'm gettint the error:

SCRIPT7002: XMLHttpRequest: Network Error 0x80700013, Could not complete the operation due to error 80700013.
Add 'fileName.json' file at 'Site Assets' library with content bellow:
{"key":"value"}
Read file content:
let web = new Web("https://contoso.sharepoint.com/sites/contoso");
let fileContent = await web.getFileByServerRelativeUrl("/sites/contoso/SiteAssets/settings.json");
let content = await settings.getJSON();
@IlyeniaMaksim https://pnp.github.io/pnpjs/documentation/polyfill/
Closing this as it is addressed in the documentation already linked here in the issue.
Most helpful comment
@IlyeniaMaksim https://pnp.github.io/pnpjs/documentation/polyfill/