Autoload and autosave sessions on the fly

Hello. Can you please consider to implement autoload and autosave vim sessions on the fly?

For example I'm using lazygit in floaterm in vim. I want to have abillity to save my current session according to git branch when I want to switch to another branch and load session according to another git branch which I want to checkot? And by default sessions should called same as git branches.

Thanks.

Start by reviewing vim-startify's existing session-related behavior and how it could interact with Git branch names. Define the expected save and load flow for switching branches, including the default session naming rule. Done means sessions can be saved and loaded automatically per branch without disrupting the existing start screen behavior.

Written by the indexing model from the issue text.