public static void logMessageWithSOQL(String message) {
          
        // Sanitize the message to remove invalid characters
        String sanitizedMessage = sanitizeForSOQL(message);

        // Construct the SOQL query
        String queryString = 'SELECT Name FROM PermissionSet WHERE Name LIKE \'' + sanitizedMessage + '\' LIMIT 1';

        // Execute the query
        List<PermissionSet> results = Database.query(queryString);
    }
    
    private static String sanitizeForSOQL(String input) {
        
        if (String.isEmpty(input)) {
            return '';
        }
    
        // Replace new lines with space
    	String sanitized = input.replace('\n', ' ').replace('\r', ' ');
        
        // Replace single quotes (common SOQL injection risk)
        sanitized = input.replace('\'', '\\\'');
    
        // Remove non-alphanumeric characters except underscores, percent signs,
        // spaces, parentheses, and dots
        // Adjust the regex to include these additional characters
        sanitized = sanitized.replaceAll('[^\\w%()\\.\\s]', '');
    
        return sanitized;
    }

Example of logs for troubleshooting:
10:52:24.0 |SOQL_EXECUTE_BEGIN|SELECT Name FROM PermissionSet WHERE Name LIKE 'Before send() 
10:52:24.0 |SOQL_EXECUTE_BEGIN|SELECT Name FROM PermissionSet WHERE Name LIKE 'After send() 
10:52:24.0 |SOQL_EXECUTE_BEGIN|SELECT Name FROM PermissionSet WHERE Name LIKE 'Before getBody (MRA_Http_Util)' LIMIT 1
10:52:24.0 |SOQL_EXECUTE_BEGIN|SELECT Name FROM PermissionSet WHERE Name LIKE 'After getBody (MRA_Http_Util)' LIMIT 1

Thank you!

Daniel