433.92 Mhz garage gate opener

Hey there!
I've been quite busy these months but now I'm picking this project up again.

Got the 433 MHz TX and RX modules, now I need a way to intercept/read the remote's signals in order to reproduce em via the TX module.

It seems the logic analyzer is mandatory, so I think I'm gonna buy something like this one. Will it do the job?

I'm sorry but I have to ask a couple more things: is there any other material I'll need in addition to TX RX 433Mhz modules, Logic Analyzer and Arduino?

How do I use the analyzer to read the signal emitted from the remote?

Thank you guys, you're awesome!