Get the values of SharePoint lists items inside the SPFx react web part

Not sure I understand, can you try this if it works?
https://flaviocopes.com/how-to-render-html-react/

Be aware that Modal is for: "Modals are temporary pop-ups that take focus from the page or app and require people to interact with them. Unlike a dialog box (Dialog), a modal should be used for hosting lengthy content, such as privacy statements or license agreements, or for asking people to perform complex or multiple actions, such as changing settings."

https://developer.microsoft.com/en-us/fluentui#/controls/web/modal