Google is an extension to my brain, which is running out of storage.
On a more serious note, the storage capacity of the brain is vast, the lowest estimates run in the hundreds of terabytes.
Your remark raises an interesting question though, how big the variation is between brains in storage capacity.
So when the iPhone v15 comes out with 1PB of storage we will be carrying more info in one device than our whole brain.
Interesting times ahead...
Our brains are not really comparable with digital computers in one respect though: Just like TTL logic does not have resistors or diodes but only transistors our brains do not have cells specializing in remembering, controlling or evaluation but only processors.
Each of them is very simple but the quantity of them and their amazing connectivity is what gives us our amazing pattern recognition abilities.