If I buy an ASIC miner and run it at home, do I become a Bitcoin node? I tried to find the Bitlist visualization as mentioned in the documentary The Rise and Rise of Bitcoin, but could not

but instead found https://bitnodes.io/

It says there are 9741 nodes.  Does that mean if I buy an ASIC miner and set it up, then I become a node and that would make it become 9742?  But the usual practice is said to be joining a mining pool, so if I join one, then I won't be one extra node but will merge into one?
If I buy an ASIC miner and run it at home, do I become a Bitcoin node?

Miners and full nodes are different. If you run full node, you add to the already running nodes.
What is the difference between a miner and a full node?
Is a miner running a full node?

It says there are 9741 nodes.

This pie chart shows more than 70k nodes: https://luke.dashjr.org/programs/bitcoin/files/charts/software.html

Related Q&amp;A: How exactly does &quot;CoinDance&quot; determine the current number of public Bitcoin nodes?

Does that mean if I buy an ASIC miner and set it up, then I become a node?

No