Since version 0.11.0 there is no Pro plan and nothing to buy.
Every AI at once, your full history, what each subscription costs you, the
head-to-head comparison and every other view are free for everyone.
→Chrome updates extensions on its own, usually within a few hours.
Once yours shows version 0.11.0 (at chrome://extensions), every limit is gone. Nothing you recorded was ever deleted, so your whole history appears.
→If you bought Pro, nothing changes for you: you keep everything, and there is nothing more to pay.