Yep, Ponyta is the insert in a poster/booklet called Information Pack volume 4. I used to buy these sealed packs in bulk when I first started selling on eBay as they were practically worthless in Japan - I think I bought this lot for around 500 JPY back in 2018:
As some trivia about these packs: the cards always have their backs visible so as not to reveal what the card is, but it used to be a lot more profitable to open the pack and turn the card around to show everyone what card is included. Packs with cards with the front facing outwards have already been opened.
Despite being quite flimsy I always found the packs did a good job at protecting the card. Here is one of several PSA 10 copies I graded which I still have:
If you’re looking to pick up one of these Ponyta cards it may be cheaper to track down a sealed Information Pack, but I have no idea what those sell for these days.