You can create a CSS class like below, this can be applied to the unordered list (<ul>) within the RTE. This class will handle the center alignment of the bullet points and text.
Within the RTE configuration, locate the option to add custom CSS classes or styles. Add the CSS class centered-bullets to the appropriate field or option. This will apply the CSS class to the unordered list within the RTE.
It looks like ootb you cannot center the list but only the text individually as you mentioned, you can either add a custom style to achieve this or you can add a hyphen in the text as a workaround and drop the usage of the list element, something like this:
You can create a CSS class like below, this can be applied to the unordered list (<ul>) within the RTE. This class will handle the center alignment of the bullet points and text.
Within the RTE configuration, locate the option to add custom CSS classes or styles. Add the CSS class centered-bullets to the appropriate field or option. This will apply the CSS class to the unordered list within the RTE.