Hi April
I’m not sure what might be causing this. Try going to Posts > Tags to have a look at the tags created there to see if anything looks unusual.
When adding tags, press enter after adding each new tag to ensure they’re adding as single tags.
Examples:
Block Editor: https://imgur.com/a/14WVOse
Classic Editor: https://imgur.com/a/Xmo6Bmm
To begin troubleshooting you can also try temporarily switching to a default theme like Twenty Seventeen and then repeating the steps that cause the issue. With a default theme activated, when adding tags to a post, does the issue persist? This will let you know if the problem is theme related.