Custom list/pager components - issue filtering not returning to the first page

[nfplee]

I have created 2 simple list and pager components. I'm having an issue where I click on second page and then search for something it doesn't return to the first page and you don't see the results. Here's a JSFiddle I put together to demonstrate the issue:

https://jsfiddle.net/nfplee/0q8uwd4y/

Normally I would solve this using the watch option, however this is unavailable in petite-vue. Does any know how I can solve this?

[nfplee]

Here's an updated JSFiddle with a hacky solution incase anyone is interested:

https://jsfiddle.net/b0vhw18f/