Aha, so thereβs no way to directly connect to an RDS instance (Chromebook or otherwise), as Fredrick mentioned.
However, I did everything I needed by running from my Chromebook into my Google Compute Engine, and then jumping from there to my RDS instance using the standard:
me@myserver $mysql -h myrdsinstanceaddress -P 3306 -u root -p
So the bottom line is that you have to ssh to some other server and then work from there.
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