how to handle Client does not support authentication protocol requested by server; consider upgrading MySQL client code example

Example 1: 'Client does not support authentication protocol requested by server; consider upgrading MySQL client', sqlState: '08004',

$ mysql -u root -p
Enter password: (enter your root password)

mysql> ALTER USER 'root'@'localhost' IDENTIFIED WITH mysql_native_password BY 'your_new_password';
mysql> FLUSH PRIVILEGES;
mysql> quit

Example 2: Couldn't connect :( Error: Error: ER_NOT_SUPPORTED_AUTH_MODE: Client does not support authentication protocol requested by server; consider upgrading MySQL client 2020

Couldn't connect :(    Error: Error: ER_NOT_SUPPORTED_AUTH_MODE: Client does not support authentication protocol requested by server; consider upgrading MySQL client