1.) What Bitcoin wallet will I use to generate seed phrases offline using the air gap laptop?
Electrum wallet is a good option, but you can also use Sparrow wallet as alternative, both are open source wallets.
There is third option to generate seed phrase manually and calculate last word, but you don't need to go that far if you ar3 doing this the first time.
2.) How can I maintain my laptop functionality since I don't have the option to update my driver?
First you should buy new hard drive or format old one and install latest Linux operating system, Fedora, Debian or Mint are solid options.
You don't need to update any drivers for Linux, but you can do offline update every year.
It's important to keep seed words in safe place written on paper or metal, so you can easily recover your wallet.
3.) How can I transfer funds from my Air Gap Laptop to my external wallet without the internet or at least a way to safely transfer it?
Easiest way is by scanning QR codes for transactions, you need to have working camera and secondary device like your smartphone.
4.) Is this worth it?
You wont have any financial benefit if you are thinking about that, but you will have better security if you set up and use everything correctly.