Using a while True loop only break out with break if you got a right answer:

while True:
    user_name = input("Please enter your name: ")
    if not re.match("^[A-Za-z]*$", user_name):
        print ("Error! Make sure you only use letters in your name")
    else:
        print("Hello "+ user_name)
        break
Answer from Mike Mรผller on Stack Overflow
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Pythex
pythex.org
Pythex: a Python regular expression editor
Pythex is a real-time regular expression editor for Python, a quick way to test your regular expressions.
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Regex101
regex101.com
regex101: build, test, and debug regex
Regular expression tester with syntax highlighting, explanation, cheat sheet for PHP/PCRE, Python, GO, JavaScript, Java, C#/.NET, Rust.
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geeksforgeeks.org โ€บ how-to-check-a-valid-regex-string-using-python
How to check a valid regex string using Python? - GeeksforGeeks
July 31, 2023 - In the following example, we will test whether an input string matches a given regex pattern or not. This is assuming the regex pattern is a valid one (could be ensured using the aforementioned example). We would be checking whether the input string is a alphanumeric string (one containing alphabets or digits throughout its length) or not.
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PyRegex
PyRegex is a online regular expression tester to check validity of regular expressions in the Python language regex subset.
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Python Regex Tester Online | Validate, Test ...
Validate patterns for emails, passwords, phone numbers, and more. Analyze results at a glance, view all matches, grouped patterns, and deeper insights as they update in real time. For testing patterns in other languages, explore our Java Regex Tester, Python Regex Tester, or Go Regex Tester.
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Online Python Regex Playground
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debuggex.com
Debuggex: Online visual regex tester. JavaScript, Python, and PCRE.
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URL Regex Python Validator โ€” Test URL Patterns Online
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rlrocha.medium.com โ€บ validation-mask-through-regex-with-python-4b03993ad1ab
Validation mask through Regex with Python | by Rafael Rocha | Medium
November 16, 2021 - The function match of re python library is used to test the regex of each field. The first argument of function match is the regex created, and the second is the string to be tested.
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stackabuse.com โ€บ python-validate-email-address-with-regular-expressions-regex
Python: Validate Email Address with Regular Expressions (RegEx)
March 28, 2023 - Obviously, this regex is more complicated than the first one, but it covers all of the rules we have defined for the email format. Yet again, it can probably fail to properly validate some edge case that we haven't thought of. The re module contains classes and methods to represent and work with Regular Expressions in Python, so we'll import it into our script.